{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Chapter 5 Computing transformations with matrices"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 5.1 Representing linear transformations with matrices"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 5.1.1 Writing vectors and linear transformations as matrices"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "B = (\n",
    "    (0,2,1),\n",
    "    (0,1,0),\n",
    "    (1,0,-1)\n",
    ")\n",
    "\n",
    "v = (3,-2,5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[(0, 0, 1), (2, 1, 0), (1, 0, -1)]"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "list(zip(*B))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Note:** this linear combination function is from the exercise in section 4.2.5"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "from vectors import *\n",
    "def linear_combination(scalars,*vectors):\n",
    "    scaled = [scale(s,v) for s,v in zip(scalars,vectors)]\n",
    "    return add(*scaled)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "def multiply_matrix_vector(matrix, vector):\n",
    "    return linear_combination(vector, *zip(*matrix))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(1, -2, -2)"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "multiply_matrix_vector(B,v)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 5.1.3 Composing linear transformations by matrix multiplication"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 5.1.4 Implementing matrix multiplication"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "\n",
    "from vectors import *\n",
    "\n",
    "def matrix_multiply(a,b):\n",
    "    return tuple(\n",
    "        tuple(dot(row,col) for col in zip(*b))\n",
    "        for row in a\n",
    "    )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "a = ((1,1,0),(1,0,1),(1,-1,1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "b = ((0,2,1),(0,1,0),(1,0,-1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "((0, 3, 1), (1, 2, 0), (1, 1, 0))"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "matrix_multiply(a,b)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "c = ((1,2),(3,4))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "d = ((0,-1),(1,0))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "((2, -1), (4, -3))"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "matrix_multiply(c,d)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 5.1.5 3D animation with matrix transformations"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "from math import sin,cos\n",
    "def get_rotation_matrix(t): #1\n",
    "    seconds = t/1000 #2\n",
    "    return (\n",
    "        (cos(seconds),0,-sin(seconds)),\n",
    "        (0,1,0),\n",
    "        (sin(seconds),0,cos(seconds))\n",
    "    )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "pygame 1.9.4\n",
      "Hello from the pygame community. https://www.pygame.org/contribute.html\n"
     ]
    }
   ],
   "source": [
    "!python animate_teapot.py"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 5.1.6 Exercises"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Exercise:** Write a function `infer_matrix(n, transformation)` that takes a dimension (like 2 or 3) and a function that is a vector transformation assumed to be linear. It should return an $n$-by-$n$ square matrix (an $n$-tuple of $n$-tuples of numbers, which is the matrix representing the linear transformation. Of course, the output will only be meaningful if the input transformation is linear. Otherwise, it is meaningless!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "def infer_matrix(n, transformation):\n",
    "    def standard_basis_vector(i):\n",
    "        return tuple(1 if i==j else 0 for j in range(1,n+1)) #1\n",
    "    standard_basis = [standard_basis_vector(i) for i in range(1,n+1)] #2\n",
    "    cols = [transformation(v) for v in standard_basis] #3\n",
    "    return tuple(zip(*cols)) #4"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "from transforms import rotate_z_by"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "from math import pi"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "((6.123233995736766e-17, -1.0, 0.0),\n",
       " (1.0, 1.2246467991473532e-16, 0.0),\n",
       " (0, 0, 1))"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "infer_matrix(3,rotate_z_by(pi/2))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Mini-project:** Write a random_matrix function that generates matrices of a specified size with random whole number entries. Use the function to generate five pairs of 3-by-3 matrices. Multiply each of the pairs together by hand (for practice), and then check your work with the matrix_multiply function."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "from random import randint\n",
    "def random_matrix(rows,cols,min=-2,max=2):\n",
    "    return tuple(\n",
    "        tuple(\n",
    "        randint(min,max) for j in range(0,cols))\n",
    "        for i in range(0,rows)\n",
    "    )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "((10, 9, 1), (1, 9, 10), (9, 3, 0))"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "random_matrix(3,3,0,10)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Exercise:** Apply the matrix `((2,1,1), (1,2,1), (1,1,2))` to all the vectors defining the teapot. What happens to the teapot and why?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "pygame 1.9.4\n",
      "Hello from the pygame community. https://www.pygame.org/contribute.html\n"
     ]
    }
   ],
   "source": [
    "!python matrix_transform_teapot.py"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Exercise:** Implement `multiply_matrix_vector` in a different way by using two nested comprehensions: one traversing the rows of the matrix and one traversing the entries of each row."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "def multiply_matrix_vector(matrix,vector):\n",
    "    return tuple(\n",
    "        sum(vector_entry * matrix_entry\n",
    "            for vector_entry, matrix_entry in zip(row,vector))\n",
    "        for row in matrix\n",
    "    )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(1, -2, -2)"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "multiply_matrix_vector(b,v) #should be same as before"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Exercise:** Implement `multiply_matrix_vector` yet another way using the fact that the output coordinates are the dot products of the input matrix rows with the input vector."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [],
   "source": [
    "def multiply_matrix_vector(matrix,vector):\n",
    "    return tuple(\n",
    "        dot(row,vector)\n",
    "        for row in matrix\n",
    "    )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(1, -2, -2)"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "multiply_matrix_vector(b,v) #should be same as before"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Exercise:** Once again let’s use the two matrices $$A = \\left(\\begin{array}{ccc}1&1&0\\\\1&0&1\\\\1&-1&1\\end{array}\\right) \\quad \\text{and} \\quad B = \\left(\\begin{array}{ccc}0&2&1\\\\0&1&0\\\\1&0&-1\\end{array}\\right)$$\n",
    "\n",
    "from section 5.1.3.  Write a function `compose_a_b` that executes the composition of the linear transformation for $A$ and the linear transformation for $B$. Then use the `infer_matrix` function from a previous exercise in this section to show that `infer_matrix(3, compose_a_b)` is the same as the matrix product $AB$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [],
   "source": [
    "from transforms import compose\n",
    "a = ((1,1,0),(1,0,1),(1,-1,1))\n",
    "b = ((0,2,1),(0,1,0),(1,0,-1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [],
   "source": [
    "def transform_a(v):\n",
    "    return multiply_matrix_vector(a,v)\n",
    "\n",
    "def transform_b(v):\n",
    "    return multiply_matrix_vector(b,v)\n",
    "\n",
    "compose_a_b = compose(transform_a, transform_b)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "((0, 3, 1), (1, 2, 0), (1, 1, 0))"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "infer_matrix(3,compose_a_b)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "((0, 3, 1), (1, 2, 0), (1, 1, 0))"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "matrix_multiply(a,b) #same result!"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Exercise:** We can multiply a square matrix by itself any number of times. We can then think of successive matrix multiplications as “raising a matrix to a power.” For a square matrix $A$, $A \\cdot A$ can be written $A^2$; $A \\cdot A \\cdot A$ can be written $A^3$; and so on. Write a `matrix_power(power,matrix)` function that raises a matrix to the specified (whole number) power."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [],
   "source": [
    "def matrix_power(power,matrix):\n",
    "    result = matrix\n",
    "    for _ in range(1,power):\n",
    "        result = matrix_multiply(result,matrix)\n",
    "    return result"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "for example:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "((-1, 4, 2), (0, 1, 0), (2, 0, -3))"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "matrix_multiply(b,matrix_multiply(b,b)) # B * B * B"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "((-1, 4, 2), (0, 1, 0), (2, 0, -3))"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "matrix_power(3,b) #same result!"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 5.2 Interpreting matrices of different shapes "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [],
   "source": [
    "a = ((-1, 0, -1, -2, -2), (0, 0, 2, -2, 1), (-2, -1, -2, 0, 1), (0, 2, -2, -1, 0), (1, 1, -1, -1, 0))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [],
   "source": [
    "b = ((-1, 0, -1, -2, -2), (0, 0, 2, -2, 1), (-2, -1, -2, 0, 1), (0, 2, -2, -1, 0), (1, 1, -1, -1, 0))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "((1, -5, 9, 6, 1),\n",
       " (-3, -5, -1, 1, 2),\n",
       " (7, 3, 3, 5, 1),\n",
       " (4, 0, 10, -3, 0),\n",
       " (1, -1, 5, -3, -2))"
      ]
     },
     "execution_count": 35,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "matrix_multiply(a,b)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 5.2.1 Column vectors as matrices"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [],
   "source": [
    "c = ((-1, -1, 0), (-2, 1, 2), (1, 0, -1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [],
   "source": [
    "d = ((1,),(1,),(1,))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "((-2,), (1,), (0,))"
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "matrix_multiply(c,d)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(-2, 1, 0)"
      ]
     },
     "execution_count": 39,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "multiply_matrix_vector(c,(1,1,1))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 5.2.2 What pairs of matrices can be multiplied?"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 5.2.3 Viewing square and non-square matrices as vector functions"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 5.2.4 Projection as a linear map from 3D to 2D"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 5.2.5 Composing linear maps"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 5.2.6 Exercises"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Exercise:** Write a function that turns a column vector into a row vector, or vice versa. Flipping a matrix on its side like this is called `transposition` and the resulting matrix is called the `transpose` of the original."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [],
   "source": [
    "def transpose(matrix):\n",
    "    return tuple(zip(*matrix))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "((1, 2, 3),)"
      ]
     },
     "execution_count": 41,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "transpose(((1,),(2,),(3,)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "((1,), (2,), (3,))"
      ]
     },
     "execution_count": 42,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "transpose(((1, 2, 3),))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Exercise:** Show by example that the `infer_matrix` function from a previous exercise can create matrices for linear functions whose inputs and outputs have different dimensions."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [],
   "source": [
    "def project_xy(v):\n",
    "    x,y,z = v\n",
    "    return (x,y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "((1, 0, 0), (0, 1, 0))"
      ]
     },
     "execution_count": 44,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "infer_matrix(3,project_xy)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 5.3.1 Making plane translations linear"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 600x507.692 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from vector_drawing import *\n",
    "\n",
    "dino_vectors = [(6,4), (3,1), (1,2), (-1,5), (-2,5), (-3,4), (-4,4),\n",
    "    (-5,3), (-5,2), (-2,2), (-5,1), (-4,0), (-2,1), (-1,0), (0,-3),\n",
    "    (-1,-4), (1,-4), (2,-3), (1,-2), (3,-1), (5,1)\n",
    "]\n",
    "\n",
    "draw(\n",
    "    Points(*dino_vectors),\n",
    "    Polygon(*dino_vectors)\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from draw3d import draw3d, Points3D, Segment3D\n",
    "\n",
    "def polygon_segments_3d(points,color='blue'):\n",
    "    count = len(points)\n",
    "    return [Segment3D(points[i], points[(i+1) % count],color=color) for i in range(0,count)]\n",
    "\n",
    "dino_3d = [(x,y,1) for x,y in dino_vectors]\n",
    "\n",
    "draw3d(\n",
    "    Points3D(*dino_3d, color='blue'),\n",
    "    *polygon_segments_3d(dino_3d),\n",
    "    save_as='figures/5.25.svg'\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [],
   "source": [
    "magic_matrix = (\n",
    "    (1,0,3),\n",
    "    (0,1,1),\n",
    "    (0,0,1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [],
   "source": [
    "translated = [multiply_matrix_vector(magic_matrix, v) for v in dino_3d]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "draw3d(\n",
    "    Points3D(*dino_3d, color='C0'),\n",
    "    *polygon_segments_3d(dino_3d,color='C0'),\n",
    "    Points3D(*translated,color='C3'),\n",
    "    *polygon_segments_3d(translated,color='C3'),\n",
    "    save_as='figures/5.27.svg'\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {},
   "outputs": [],
   "source": [
    "translated_2d = [(x,y) for (x,y,z) in translated]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x324 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "draw(\n",
    "    Points(*dino_vectors,color='C0'),\n",
    "    Polygon(*dino_vectors,color='C0'),\n",
    "    Points(*translated_2d, color='C3'),\n",
    "    Polygon(*translated_2d, color='C3'),\n",
    "    save_as='figures/5.28.svg'\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 5.3.2 Finding a 3D matrix for a 2D translation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {},
   "outputs": [],
   "source": [
    "rotate_and_translate = ((0,-1,3),(1,0,1),(0,0,1))\n",
    "rotated_translated_dino = [\n",
    "    multiply_matrix_vector(rotate_and_translate, v) \n",
    "    for v in dino_3d]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "draw3d(\n",
    "    Points3D(*dino_3d, color='C0'),\n",
    "    *polygon_segments_3d(dino_3d, color='C0'),\n",
    "    save_as='figures/5.32a.svg'\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "draw3d(\n",
    "    Points3D(*rotated_translated_dino, color='C3'),\n",
    "    *polygon_segments_3d(rotated_translated_dino, color='C3'),\n",
    "    save_as='figures/5.32b.svg'\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 5.3.4 Translating 3D objects in a 4D world"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {},
   "outputs": [],
   "source": [
    "def translate_3d(translation):\n",
    "    def new_function(target): #1\n",
    "        a,b,c = translation\n",
    "        x,y,z = target\n",
    "        matrix = ((1,0,0,a),(0,1,0,b),(0,0,1,c),(0,0,0,1)) #2\n",
    "        vector = (x,y,z,1)\n",
    "        x_out, y_out, z_out, _ = multiply_matrix_vector(matrix,vector) #3\n",
    "        return (x_out,y_out,z_out)\n",
    "    return new_function"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "pygame 1.9.4\n",
      "Hello from the pygame community. https://www.pygame.org/contribute.html\n"
     ]
    }
   ],
   "source": [
    "!python matrix_translate_teapot.py"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 5.3.5 Exercises"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Exercise:** Show that the 3D ‘magic’ matrix transformation does not work if you move a 2D figure, such as the dinosaur we have been using, to the plane $z = 2$. What happens instead?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x295.579 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Same code as above except for the 2 in this line\n",
    "dino_3d = [(x,y,2) for x,y in dino_vectors]\n",
    "######################\n",
    "\n",
    "draw3d(\n",
    "    Points3D(*dino_3d, color='blue'),\n",
    "    *polygon_segments_3d(dino_3d, color='C0')\n",
    ")\n",
    "\n",
    "translated = [multiply_matrix_vector(magic_matrix, v) for v in dino_3d]\n",
    "\n",
    "draw3d(\n",
    "    Points3D(*dino_3d, color='C0'),\n",
    "    *polygon_segments_3d(dino_3d,color='C0'),\n",
    "    Points3D(*translated,color='C3'),\n",
    "    *polygon_segments_3d(translated,color='C3')\n",
    ")\n",
    "\n",
    "translated_2d = [(x,y) for (x,y,z) in translated]\n",
    "\n",
    "draw(\n",
    "    Points(*dino_vectors, color='C0'),\n",
    "    Polygon(*dino_vectors, color='C0'),\n",
    "    Points(*translated_2d, color='C3'),\n",
    "    Polygon(*translated_2d, color='C3'),\n",
    "    save_as='figures/ex_5.26_dino.svg'\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Exercise:** Come up with a matrix to translate the dinosaur by -2 units in the $x$ direction and -2 units in the $y$ direction. Execute the transformation and show the result."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x374.4 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Same code as above, except we define a new matrix\n",
    "translation_matrix = ((1,0,-2),(0,1,-2),(0,0,1))\n",
    "######################\n",
    "\n",
    "dino_3d = [(x,y,1) for x,y in dino_vectors]\n",
    "\n",
    "draw3d(\n",
    "    Points3D(*dino_3d, color='C0'),\n",
    "    *polygon_segments_3d(dino_3d, color='C0')\n",
    ")\n",
    "\n",
    "translated = [multiply_matrix_vector(translation_matrix, v) for v in dino_3d]\n",
    "\n",
    "draw3d(\n",
    "    Points3D(*dino_3d, color='C0'),\n",
    "    *polygon_segments_3d(dino_3d,color='C0'),\n",
    "    Points3D(*translated,color='C3'),\n",
    "    *polygon_segments_3d(translated,color='C3')\n",
    ")\n",
    "\n",
    "translated_2d = [(x,y) for (x,y,z) in translated]\n",
    "\n",
    "draw(\n",
    "    Points(*dino_vectors, color='C0'),\n",
    "    Polygon(*dino_vectors, color='C0'),\n",
    "    Points(*translated_2d, color='C3'),\n",
    "    Polygon(*translated_2d, color='C3'),\n",
    "    save_as='figures/ex_5.27_second_dino.svg'\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Mini-project:** Find a 3x3 matrix that rotates a 2D figure in the plane $z = 1$ by $45^\\circ$, decreases its size by a factor of 2, and translates it by the vector (2,2). Demonstrate that it works by applying it to the vertices of the dinosaur."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "((0.7071067811865476, -0.7071067811865475),\n",
       " (0.7071067811865476, 0.7071067811865476))"
      ]
     },
     "execution_count": 59,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from vectors import rotate2d\n",
    "from transforms import curry2\n",
    "from math import pi\n",
    "\n",
    "rotate_45_degrees = curry2(rotate2d)(pi/4)\n",
    "rotation_matrix = infer_matrix(2,rotate_45_degrees)\n",
    "rotation_matrix"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "((0.3535533905932738, -0.35355339059327373),\n",
       " (0.3535533905932738, 0.3535533905932738))"
      ]
     },
     "execution_count": 60,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "scale_matrix = ((0.5,0),(0,0.5))\n",
    "rotate_and_scale = matrix_multiply(scale_matrix,rotation_matrix)\n",
    "rotate_and_scale"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "((0.3535533905932738, -0.35355339059327373, 2),\n",
       " (0.3535533905932738, 0.3535533905932738, 2),\n",
       " (0, 0, 1))"
      ]
     },
     "execution_count": 61,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "((a,b),(c,d)) = rotate_and_scale\n",
    "final_matrix = ((a,b,2),(c,d,2),(0,0,1))\n",
    "final_matrix"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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Tr9tnURQRAV8eLOR8p6UpTbxQl5WVMTc3x969exFFMcFHPTc3h8/nQxTFFa6PTIQ6VwsZlBX1C4UqyDmSbTHHauvNz88zODiI0Wiko6NjRQvJ5SzvZSwx6w7yg+dHCIRj1vMzffPceFljQkBu95ZiSq1GJpb8VEZm+d2uSmwFFloqbPxOZ6X8vND5Srdz0x76Zjycm/Fw2uHiF6++mbdrMWhpLDZRYQxTa4XmcgsdVXYaygsRBCGvHc7yhZRXvdlcFrkQn4Ms9e5YblHnKtSRSCRnQXY6nRQVpa4AXY+ogpwluRZzJFtvZmaGoaEhrFYr27dvX1F+m4pU+3xxaIGIIPDi0CKBcJTiAgNji3666woxG3QUGHWYDTosBi0Wow4BDX0zHoptQtxjOgw6DUa9lo4qGx1VicfkDUbon/FwvG+C08MzTAcEzixpeNYRhnNuwI3dOEWVWaDhjd9Sb9fSWlFAR3UhNWVFWK1WjEYjGo2GcFTgmf4FhuZ8VNhNvLO9DPtF8B1LiKK4IQU5m3hCpuun07goXaH2+/0IgpAg1Msb72eDy+VKeVe5XlEFOUNEUSQQCBAKhWQhyeXWUxRFJiYmGB4epri4mEsvvRSLxaLIsYYiIgadlllPEE8wyow7yBtTHp58Yzb1i547vWKTTquJibZBh+W8UBcYdJgNWrRChEjQh91iorK8gkaLEaMuZrF7glEWfWHmPSFGZp28OC3iHw/DGSfgpMQ8Tq1NS22BSGORgbmQDldIQ2WRhdEFH2OLfj5x2ZasGw8pgS90XpCzyCxZjXyPh1oPVXrJWEuopayPUCjEqVOnZKGO7/dRUFCQ1v6XlpZUC3mzIuUQR6NRZmZmcLvdtLW1Zb2eIAg4HA55xNDu3bsVn6LcVWfn9LiT39lWyc9OT9JVV8Rt7+ugscyKPyzgD0djP6Eo/rDA62f7KC6vQtQZCMRtX/68QDjKksfH/KKfCDoErZERX5TA1Cy+UJRwNJVPN3H7YkBkMRDlNQCC8nYNXjpKtMxZ4Df6BZor7dhsNvmCvFB+QVEU8eXJQs6nD3m9lE1nQrxQl5eXMzMzI/uo44OJCwsL+Hw+BEFIGkyMPy7VZbEJSVbModfrs8pqgNjJPD4+zvj4OJWVlRQWFtLa2pqXxPX2Kjt/tLeO3w4uUF9sZnzJT3NFLJXNZNBRTOI+TS4zjY3FFBYmz7eVSlqHh4cpLS1l69bdSZsVBUIhPP4QoSjnxVzgld7XqW9qJhSFQCSKPyTIj/lCUaZcQV4cWiQqigTCAlVlRZQUGOhor6FQF8Hr9cpfYNLFaLPZCAaDmEymvImQLxT7O1s3UJbFRhTkVGg0GiwWCxaLhfLycnn7WkL97LPPMjY2Jo/syvWuc2xsjI9+9KNMTU2h1Wr5xCc+wU033ZTr21uBKsgpSFXMAWQlyJFIhNHRUSYmJqitreXAgQPo9XpcLhfRaDRvlUQ7agvZUVtIS4WVTx05zU9POLhmeyXlNmPSvsrJ/I/LhXitrnF6rRabSZ8gCp4SHa3VVgYWgthEHa3lVooLEt/z46/P8kz/PGaDjmBEoK2igIYyOzqthtLSNxv6xF+MExMTeDwe5ufngcSewzabLacBpvEWcrZtP1dbeyMLcr6b66/12awl1OPj45w6dYqhoSGuuuoqAoEAP/vZz2hqasrqmPR6PXfffTe7d+/G7XazZ88e3v3ud7N9+/as1ku5H0VX2wSsVcwBsT9OugUdoVCIkZERZmZmqKurW9FnQqfTZW1tL2e1i3zPlmKKLHruPTrAbwfnObi1lI/sb0joRbFckDMVYolkxxCIwDeeGWXOGytvtRr1fPYdTVQXvrne1Z3l1BSZGFsMUGYzsKehKGmvjPiLMRQKIQgC9fX1CWXC8VM84osgJNeH5P9fC9/5DBXVZZG4fj4t5FxS3qRz4/Dhw/T19XH48GH+5E/+JOdAZ01NDTU1NQDY7XY6OztxOByqIOeDTIo5ID0RDQaDDA0NMT8/z5YtWzh06FDSi0QpQZbENNWF8t+nJ6ktsnBmys2iL8TPe6cIhaO0VdkRRBFBhHFHAJtrkQJriIXFRWZmZrFabZRXNDAT1HPmzDyCCIIgIorIrxNFMeHfUUEgEo0iEpvKIYpw7GyAqWAE0CAgsqPGzi9fm+FjhxrkY9RoNHTXFdJdl12JcrzwVla+mbIXjUblYNHCwgJjY2MEg0H0ev0KoY6/U3EHoxx3uAAYXwpkNVkkFRvdQs63ICuxfnyWhZKfx/DwMKdOneLAgQOKrSnxlhbkbIo5YHUL2e/3MzQ0xNLSEk1NTbS3t696MiglyFJxSKoTeXTRT2e1jTem3JwcjYnM6XFXkmfOL/v/wvkfJXjzM9tebcPpT79sPBd0Oh12u31FPnc4HE5ouuPxeIhEIhiNRjBYuL/Xy5g/Fmy8/yUHeq2Gg1uVmca9mQU5HBXQajRJ727SQYkcZIgJstJBPY/Hw7XXXss//uM/poy15MJbUpClHGKpHj/THOJkPSi8Xi+Dg4N4vV62bt1KZ2dnWuspaSGv5otuLLXw4tAi+5uKKTDqcAUivK+rmh3nG+YszM8xOjKC3W6jrbUVk8mIVqNBo4m1zNRqzs9NS/F/6XkaQBQFopEIOp1Wfu7PnzvFk5N6zEY9T5yZ59UJN4e3VyY91guFwWCguLg4IVdVFEVCoRDPnJ3GFRIJhmIuloBnkX991kOlWKVIifBGF+Rk51k4KvDTExM8N7iIVgPv3V7B+7qqMn6fSlnITqdT0TzkcDjMtddey0c+8hH+4A/+QLF143lLCbJSxRzxJ7vb7WZgYIBQKERzczNlZWUZrae0yyIVH7i0lilXkNEFP4Io8ntd1XxoTy0z09MMDw9TU1ZG7bZ67HY7NTW5TcSIRqOEtYm5sK2lRkqrKniy30ldsZkpV5DOGmV6CyuJRqPBZDJhtdlifXYNOiDEK3PQWKJDY7Li9/vlyjPILpCYz1zhCyHIyVI0f3VmlmcGFii16PGFBf6nd4aqQhMHmjK7q1DKQnY6nZSUKHdHc+ONN9LZ2ckXvvAFRdZMxltCkCX/8OzsrNyYR4nmJydPnkQQBLnhTzYo7bJIhc2s5/++q5U5TwidRiTomufYSy9RVlYmB+uGh4fz1hdCo9Gwb0shV26rZmzRz/u+c5yfvDjO/7u6Jee183HMHVU2THoNHcVWOqpsvDbhYXghwEd+OsCfva2BD+/rxKTXZh1ITCeTIFvyKcjhqMCUO0TAq+P4zAyT58d3jS34ecXhwh8SEAGzXsvBrcWcnfZmLMhKWshKCfLzzz/P/fffT1dXFzt37gTga1/7GocPH1ZkfYlNLcjxOcSiKHLu3Dne9ra35bTewsICg4ODhEIhWlpacvZRKe2yWA0NIhH3HAMjI5SVlbF3796Yv1R6PEVPDCWI72zXUGLhyrYyjpxwcNrhYmd9IZ+4bMuKNLh0180HZVYjf9RhZEiw4w0LXLuzhupCE/f+Zph7jg5x5MQEn7mykd+7pCqrQGIgEJB9nEqnPGYryKIosuSPMOUKMukMMOmKDYyddAWZdMZmJ856QgjLvv90Wo3ceEqrgRKLgdoiE8GIQFlcM6t0UcpC9nq9K/pAZ8vll1+e9x7QsEkFOVkxR67lzbOzswwNDWE2m9m2bRu9vb2KOPV1Op0i889Wc1kIgsDk5CQjKYQ4nTUyIZVISif0gjfEoi+EKMK8N8Trk26+8dQwXz28euXj6OgoZ8+e5corr0x6/EpTbtHyzu76BHH49nWXcHxkiXt+PcRX/uccP3nJwf+9aiuXt5Ss6HW9WiBxYWGBubk5RkdH5UBivDWdS0ViKkEOhGMFOJOuIFPO4Pl/x4R36vy2QCTx72/QaagpjM0v3N9UjEmvZXhqgSkfjDtDADSVWnhnexl7thTxP73TLPkjiEBDiZmr2ssyPn4lOr3JI8M2UEc92GSCvFoxRzaIosj09DRDQ0PY7Xa6urrksTKSRZrriaPT6QgEAjmtIa2zXEzTFWIJrVabt+GY8Rby6KIfnVZLoVnPhDNIXaGJgTkv/nA05XBSgEcffZQvfelLDA0NUVaW+YWeKakCb/saiznysZ08fmaObzw1xP/5j1fZ31jEF97ZvObMPSmQaDAY5AwcKZAoZXwkq0hcK5AYFUTmPCEmXUHODLuY8Ubwvd7/pgC7giz6Vv5ty61GaopMtFVYeXtrKdWFJmoKzdQUxobXFln09DjcHD03x9Gz84wvBdAAl9RY+cM9dVzVXpaQDriroYjBOR9aDbRWWLPqQxKJRBRpI5DvMVP5YFMIcjrFHBLpRLfjhaykpIRdu3atOEGkaj0lBFlpl0WmQhy/Rj59yBIFRj2zniDOQASbMdakKCyAUbd2BzHI//igdNBoNLxnewXv6ijjwZOTfPe5Ua770Snes72Cz72jiYaSWKluqqkV8eehFEg0mUxJKxI9Hg/Ti25eHphiYsnPQkDEFdHhDGuZD4jM+aLMesJElvkSrEadPJ17R40tJrTn/19daKLKbkoqmIFwlJeGl3jg5CRP9c2z4Atj0Gk40FTMDYcaqIpMs797W1LRLDDquCTHQbBK9DHOp48+n2xoQZYsi3RziNcqnohGozgcDsbGxqioqFi1Mk3KRU6ncm01lBZkh8PB8PAw5eXlaQuxxIXyIU+7AowtBrCZdLRVFOCLiHzisoY181Yly/BCCXI6X94GnZYP76vj/d1V/PjFcf7lpXGefGOOP9xdQ2tFAf/dM0MoKnBlWyl/dtkWDHFfOtLaoYjAtPu8C8EZlANlk+fdClOuIN5Q4jmi04apKDBQZtHQbIddpVrKC7TUFlko1EdprCiko3lL2hWJTn+YZ/oX+M25eZ4bWMAfFrCZdFzRWso728u5vKVEnqV46tTUuq3Uk3C5XGv2EV+PbGhBjrcw0jnpDAYD4XB4xckUiUQYGxvD4XBQXV3N/v371wy0KJkdkes6giDg8XgYGxujtraWffv2ZeVjVcqHnAxJkHsdLv7ioTO0VVr5y3c1E46KbCm10Fi6dvOX+AyFeNaDxWwz6fnMlU380e4avvPsKD99eQKAmkITFXYjv3h1BsdSgI4qG1OuIK8PBwn2nmLKFWTOG1qxXmmBgepCE42lFg5uLaam0ExVoYmaIhM1hSbKrMYVX2BSIHFoaAjCfs6cOUMoFEpZkTjlCnD07DxHz81zYmSJqAgVNiPv76rinR1l7GssTvgCid9PPgVZCQt5aWlpw/VChg0uyJCZiCyvsAuHw4yOjjI5OUldXR0HDx5M+5s5k34Wq5GLIAuCwMTEBCMjIxiNRhobG9m6dWvWx5JvQR5Z8POZnw1RajVy33VdlNsy+9JI5rLI521pNsUbFXYTXz3chs2k5T9PTeFwBnE4Y9V+o4sB6J3BYtBSZBDZWqWjvTLmt60+L7Q1RWaq7EbMq/jSUyEFEq1WK8XFxbKfXQokejweTvQ5eHbIzctTYUbcsc9xS7GRD++u5Ood1XTXF6FNw6WXz89dCQtZ6aKQC8WGF+RMkEQ0FAoxPDzM7OwsDQ0NKxr+pEOmE6NXWydTEYwX4oqKCvbt28fMzEzOlnY+BXkxIPCVx4bQAN+7PnMxhvXlQ16LtkobtUVmghEBTzBCgVFHW6WVWw+3U2TRc+LECfbt687LvuOzLKKCSO+Uj6NnFzh6bo6xxVgAubvOzmd3FbO/1kyZMYLH48E73c+JyfQCifkU5Lfq+CZ4iwkywODgIIFAgMbGRlpbW7NOi8mlJ3I8mQh7MiGWXBNKpM+lOwU73bUkXIEItz+zgDMg8KP/fSlb0nBPJEP6W+V7RFE82QrPuzrKeercPGNLfgqMJswGLf/3nc1Z5VqnQhBF/rtnmuMjTsptBv54Xx0VdhOBcJQXRjy89PysHJTTa2NBuT89WM9VbWUJcxXjiW9t6vF4EioSLRYLNptN7jGcS2vTVd+XAoUtG3F8E2wCQU6rhaLPx+DgIHNzc1RVVbFr166cTyQlXRZrCcxqQiyRTmHIWihlIUtNm3S6WF/jzz34GuPuCHe9t5EdOZRLbyQLucCo4473d3Da4SIUEdleY8uqSGI1fvjbMR4+PYVBpyEYFnjyjTlaKqz8dmCeYDQX/PweAAAgAElEQVSWZfH21lLe2VHG5S2lclBuNVL1GZYqEqUGTP39/Tm3Nk2FEn0+VAt5HeLxeBgcHMTv97N161bsdjtarVaRb3UlCzpSCWk6Qhy/Tq5imusa0sTs/v7+WHUk8L1XBV6eDPGZPVa6Kg05XWwbSZABzAZdxmXDqyFNVplyBZhwBvnJS+MIoognGJWr55b8Ea5oMPF7Oxu4oqNasXmEkvAWFBQwMjJCV1cXsLIicXR0dNVA4oViaWmJqqqqC7Y/pdjwgpzs4nY6nQwODhKJROQ+ExqNhomJCYLBYJJVMkev1+P3+3NeJ9nxxwtxZWVlWlkTSmRr5JL2tri4SF9fH2azmUsuuQSdTsftjw9wbHKK/3Owkr3FsYKH8fFx+WK12WzyxZqOzzBV2ttGEejVEESReU+Iibgy5VgKXKyCbtIVYClJu1Ld+dOn0KTDatLzV9e0UB6cpLW5JC/DYZc3RcqmtalSFYmr4XK5aG9vV3zdfLPhBTmexcVFBgYG0Gg0tLS0rPAh6fV6PB6PIvtSKqgXTzZCLKGUhZypuDmdTvr6+tDpdHR2dmK32xFFkXt/3cd/nprihkMNfOqdWxkaGsJms1FRUZEQ9Z+cnMTr9codxCSRttlsWCyWhC+sZGlvGyX5X7JupR4RL/eH+dnkG3F9IoIrCjsKjDpqzxdyXFJrl4s6YqlvZn7x6gyP9Eyh12mIREVKrUb2bClm6Kwjb2lp6aa8rdbadLWKxIKCAtnllYsfWcnGQheSTSHIc3NzDA4OYjQaaW9vT9ljwmAwKCaiSgX1IHaijo+PZyXEEtlkaywnE1F3u9309/cjCAJtbW0J/rqfnhjnO8+O8v7uKj5/VROQGDBMdbFKVWkDU0s89sww3kCYvdV6uusKsdlseL1e+bn55uy0h7tfDhJ+5WX2NRbxuXdsTTlXL75sOd6ylS1dV3BFM34NUFXopKbQRFednas7K86nvUmia8Zu0q36hfPxyxqoKTJxYsRJmc3Ah/fWUWiOnZf5+qLKJQd5rYpEaQJ7OBzm5ZdfBt4MJGY6I1FNe7tILC0tMTExwfbt27HZbKs+V6lAnFJrCYIgWwl+vz/rgg64cEE9r9dLf38/oVCI1tbWFVbIr16f4W9/cZYrWkq49XBbQvHOakIqBZMWghpue3YIdzCKBg0nF0T+urqQTp1GFuTTp0/jdDrliL/kalGqkcy0K8jn//N1PD6BAkuEX74WK+r4w921sSo6SXBdQaacAabdoRXWrd2ko7oo1hPi0rrC83nG50uX7UZGz/Zy8MD+nI5Tq9Hwvq4q3teV6CvNZ6/lfAw4jQ8kWq1WfD4fXV1dCYHETGckqhbyRaKkpITu7vTyOZUU5FwLOhwOB6Ojo1RWVmK1Wmltbc3Jqsl3UM/v99Pf34/P56O1tVUuOhBFMdaSURAZWfDxF//1Kl11hfzdB7atKBNOx7L9n95p3MEIwbBAKCqi00b52ydG2d1QxKhmOxV/8BUeWazB5NMSjrgIBINEIlHEX88giqDRatFodWi02pgLRqM9P/MP+bc050/6LZI4H9AXiuIKRBBFWArFYg5P9S3wVF9slJVOA1Xn+0HsbCiKWbaFJlmAqwtN2M2pLy1BEJhYo29HLuR7gGq+q/SkeEK88MazWiAR4OjRo7hcLsXupG644QZ+/vOfU1lZyauvvqrImqnY8IKciYhJpdNKkI24LxdiqUR7YWEh5+okpVwWy0/iQCDA4OAgTqeT1tZWysvL5c88HBX4fw+9xguDC0REEW8wSkOJhfs+vBOrPnGddAU5EBbQABFBJHJ+mKovFGV4wYcrrEdfWMGCP4pFjKDVaIigA60Gi8Usj48SBQEhGkWIhEEQ0Gk1mPU6DAZ97EevR6fVvjl2atlYqhl3kFfGXUSjAqDBbIyNovrmh3ZQU2SmwraybDkT8jm+SWI9uizSIZ2y6dUCiVNTU2i1WqamprjhhhtYWlriPe95D3fddVfWx/Snf/qnfOYzn+GjH/1o1muky4YX5ExQqv9EpmulEuLla+UiyEq4LOKzLEKhEIODgywsLNDc3Jx0RuD9L47x/EBsKKr7vI/0QFMxJQUGQqHQirXTEeTf2VbOz1+dxm6GBW8EvU7Ll97dzId21/LAAw/w8dtu4ucvv0xbW6x38szMDD6fj6amppRrxgcRPR5P0iCilNKl0WgIRgT+z097OTvpRKfXo9dq+PMrtrCrQZm81nyPWMonF2LidLbXgcFgoKGhgS984Qs8/PDD/OY3vwGQC1uy5e1vfzvDw8M5rZEuG16QM7EElLQa0slIWEuIJZT4oljLZSGKIo++Os0vX5umyGLgE5c30bhsrL0kmn19fczMzNDU1ER53VYmXUF6zswy4QzEsgTO/5yd9hCMa2heaNYzvJA8FTBdQb6k1s7X3r+NH/x2lMF5H1OuEJfWFcrvUXovmbBWENHj8TAzM4Pf70ej0WC1WvnyZcU89LIba1kVe5tKFJs2Le17o2SHLCcfPuR4lGgstLzXiVJTQy4EG16Q1yPxQlxVVbVm9zilBHk1ofq3Y+Pce3SAiCAgivD0uTl+8qd7AJhyBRhf8PHG6DQDUz5C+lnmAzB19CyhyJmEdSwGLTVFZmqLzLRUWBmc86KLmz7dUp765E9XSPc3FbO/qRinP8w13zrGfc+Ncs+121N2e8uG+EBSRUWFvD0ajcrW9NuqRGw2J+HZOV5xGhOi/VardV1OnM4369lCloifJL/R2BSCnGkPhnxdEIIgMD4+ztjYWFpCLKGkKyUVP35hlKggyEMo/eEQh7/1QsJztBooMmppqjRwSa2Zd3fGhFcS4OoiE8UWg/zZeYMR/vzIaQbnvOfTuEx89qrmpPvPpk9GkcXAdXtq+cELY1z/w5NohqaA/Ka96XQ6CgsLKSwsxOFwsGvXLiDmwpGs6bGxMTnjQ0rLkn5MJlNaE6c3olhA/oN60Wg05/FcHo9nQ/ZChk0iyJmghL82HlEU5TziTIV4+THlE2kIZTIpK7Ho2FZdSHd9ETrXBL9/5Q62lFjQrhG4spr0/Oijuzgz5UEQRTqr7Rj1yS31bBsX9c3GCnlem/QQGnMBEAgnBlMvRF6y0WiktLQ0IX82Pi3L6XTicDgIBoPodLoEkV5eibjRfcj5nGcYiUTkMWnZ4nQ6FZl3eTHYFIKcycUuZUcoIcgajYaRkREcDkdWQixxIQT5+n11fP+5EQoMEBEEDBq4cW8Z2oJC+mZ8vDHt4fvPDSOI8O3Tv8Vi0NJeZWNblZ2Oahvbqu10VNqwLUvn0uu0dNW9efJPuwLMeULU2vVY45rZpPs38oejckHFwKyP5wcXgdgXiaYolm97dsrDru43171YxKdlxfdNiA8iTk1N4fF4EoKIUlFRPizlC9Gr+GJnWayF0o2Frr/+ep566inm5uaor6/nb/7mb7jxxhsVWz+eTSHImaBUQcf4+Dgej4dgMJi1EEtcCEH++GWNCEEvv3x1hhKrhb94TyddDaUJzwmEozz05AsYq7byxpSHs9NufvnaNP/xskN+Tn2JhW1VNrZV2+iosrOt2kZ9ccya/sdf9/OD50cx6mKpZN//cLc89FOj0RAVhFhF2/nyYWlckdyzIcUgTgmNNna6Ri9g+81sWCuIuLi4iNfr5cSJE3LQKd4/nYsFeiEEOZ/WvRJ3r0pPC/n3f/93xdZai00hyBcqFzneR1xdXU1ZWRn19fU5d7HKpyCLosjMzAyDg4NcWVfMx664LOUcQLNBR1ORlrftrkt4/ZQryBtTbt6Y8vDGtJuz0x5+fXYWyeAtMOqoLzYzMOclKoA0/u2Gfz3NuzsrmHIFGVvwMuMJExFGE/aZ0K+hJtavoSauqu1rj/dzfMRJOBIl7Iz5kNsrN07UXCI+iGg2m4lGo3R2diYUOczPzzMyMkI4HE5owpNJEDGfVXpwYQpDlLCQN2LZNGwSQc6EbAs64oVYsoh7e3vXzVw9eNMtIP2em5tjYGAAu92edHJ2KpZPRK45H9i7quPNbAR/KErfjEe2pJ/tnye6zHD1hQVeGFqktshMR4WFg3Vmtm2pkns2pNOv4Z4/2M53nxvllXEnoVAxjwBG3cYIiAWDQf75n/+ZP/qjP1rRW1gSzVRFDsuDiD6fD1EU1wwiXoig23rPslAFeQORiSAvF+IDBw4knCxKNqlfXkiRDVJxiMvlor+/H7PZTHd3d0ZBknhRXw2LUUd3fRHd9TFf3YmRRW78l5MEIm/6icsK9Pz6cweBWAMol8tFc3NtRu/JqNfy2Xc0AfDoow4eYf232xRFkUceeYSvfvWrDA8Po9fr+eQnP5nw+FqfbzpBxImJCQKBQEIQUalgdSouhA9ZCUGWSvs3GptCkDNxWaQjomsJscR6mjwNsYvl5MmTGI3GtJotJSObFpwAextL+OMDW7j/pTEM5y3Yb/zhJQnPyVVI1/PUaYnjx49z88038+KLL7Jjxw4efvhh3vWudyU8J9tgXqogYiQSka3p2dlZnE4nx44dS1mJmAv59iErkYHidrtpbk6efrne2RSCnAl6vZ5AIJD0sWg0yvj4OOPj46sKcfxaF3vyNCBbxIFAgO7u7oTb40yRyqezsYK+eHUb1++rZ84TpKHImNBgR8l5fRdq6nQmjI6Ocuutt/Kf//mfVFZW8s1vfpM//uM/Tvo5Kp32ptfr5SBiYWEhOp2Obdu2JczGW16JGO+fziSImG+XiBKoLouLTKZBveVN6jMVYomLLcgej0cel9Ta2srw8DAWS3YDRCVy7RpXX2Khrti8InCqhHBmWzqdT5xOJ/fccw/f/va30Wq1fPGLX+Tzn//8qoUJ+SwMEUURnU6XcjZeqiCiwWBI8E0XFBQkFd58uyyUQBXkDUS8iGYrxBJKzdXLVJB9Pp9sEbe2tsp+xvUwV09iuegoYSErWTqdK5FIhB//+Md87WtfY25ujuuuu46vfvWr1NfXr/nafAryWi6FXIOI+XRZKPW5bNReyLBJBDlTH3I4HGZkZISxsTFqamoyFuL4tZSYq5euIAcCAQYGBnC73bS0tCS0wpTWuRhjnJbjdrsZGRmRfZh2u11RQb6YFrIoijz++OPccsstnD17lssvv5w77rhDLrFOd418CXK27pB0g4h+v5+XX3551UrEC33sy1Et5A1CNBplenqamZkZ7HY7Bw8ezLkHsVJBvdWENBgMMjg4yNLSEs3NzWzfvj3pBa10C85MkSz3YDBIXV0dkUiExcVFRkdHCQQC8gUnibTFYsnoAryQ/uJkot/b28tXvvIVfvOb39DS0sK///u/c/jw4YyPK98N5JX6nJIFEY8fP86ll14qtzFNVokoiXSmf1+lKmjdbreilXr5QKPR/Dnw5+f/WwQMi6J41VtCkKPRKGNjY7Jrwm63KxKFVdKHnGydUCjE0NAQ8/PzbN26lW3btq16sV0sl0UwGGRgYACn00lbWxulpaWyK6e6uhqIWS3j4+OUlJTg8XiYm5tLCDLFW1ypCm0u1tTpqakpbrvtNv71X/+V4uJivv71r3PjjTdmXVGXbws5nz5eURQTgojx21MFEQsKChL+vqk+N6X804Ig5D39L1dEUbwPuE+j0RiAo8A9sEks5FQntyTEDoeDmpoaDh48iE6nY2ZmRpH9KinI8SIYiUQYHh5menqaxsZG2tra0rI0LvSg00gkwtDQEDMzMyua2C93UWjPj1QqKytLyBGNb3c5OzvL0NAQkUhk1QnUF2LqtCQwd911F/feey+hUIhPf/rTfPGLX8zZP7keXRbpkM5MxFyCiEpYyFKzrw3EvcBRURT/BzaJIEOiAMRbxLW1tVn7iNdC6Qq7aDTKyMgIk5OTNDQ0cOjQoYwuLqUGnabTeH90dJTx8XG2bNmS1nGm8iHHt7uUWN48fnp6Gr/fT19fHxCbEiINOc0HgiBw5MgRbrnlFubn5/nABz7Arbfeqlhu60YV5GzWziSIKN1VDQ8Py26PdKdMS0jn2HpJh1wNjUbzp0Aj8Blp26YRZEhuEefz1kUpC1kQBEKhEC+++CJ1dXWyJZ8pSrgsVvMhi6LIxMQEw8PDVFdXZ/z5pmu5pGoeL6UriqLI5OQkHo+HcDiMRqORq9XsdvuKCcSZ8Mwzz3DzzTdz+vRptm3bxpEjRzh06FBWa6Uin7fU+V5bKXdIsiDizMwMi4uLWCwWXC5X0krEtYKIPp9vQ0wI0Wg0e4C/BK4QRVG+4DaNII+NjTEyMpJ21oQSVkquFnL8ZBFRFHO25PM1CkoURWZnZxkYGKCkpIR9+/Zl7D9VwmKRfMvl5eVs27YNiJVkz83NYbFYEnoSL78lXqs5T19fH1/5ylf45S9/SUNDA9///vdpbm5m3759OR/3cjaqhXwh+lhYLJaEKkSIucZStTONjz9YLBaWlpbWfUDvPJ8BSoHfnD8XToii+PFNI8g2my1tQVOqSX22KWKShTc0NCTP2jt+/Piax3PixAk+9rGPsXPnTrq7u7n00ku59NJL5RNYq9XmnBe9XJAXFxfp6+vDYrGwc+fOrAtP8pWHrNFoMBgMVFVVJVzIqSZ8LA8gut1u7rzzTn74wx9isVi49dZb+dSnPoXBYKCnpyen402FKsip1092Dej1eoqKihKEdnkQcXZ2lgceeIBHH30UgHvuuYfu7m4OHDiQ0/SQxx57jJtuuoloNMrHP/5xvvzlL2e9VjyiKH4s2fZNI8ilpaVp364r2aQ+E0RRZHp6msHBQUpLS1dYmmtdqFqtlu3bt3Ps2DEefPBBeXt1dTXd3d20trbS0tLC1VdfTUtLS1YXpvQl43a7ZZ9ttn0x4slXHnKqdVPl1UoX8OTkJD/5yU+4//778fv9XHvttfzFX/wFjY2NcnvMfLHe/LzpciEGnKbbCCtZEPGSSy7hqquu4v7776e8vJzHHnuMqqoqurq6sjqeaDTKpz/9aZ544gnq6+vZt28f73//+9m+fXtW66XDphHkbHoip9uOMlfib/mLiorYvXv3in1LlulqFsju3bv5j//4DyDWhLunp4fTp09z+vRpenp6OHr0qOzTtlqtdHV1cemll9Ld3c3OnTvZsWPHmu85EokwMjKCRqOhra1NsYonJQQ519JpKQf6iSee4NZbb2V4eJirr76ar371q9TW1uLxeBgaGsLn86HRaAgGg4yPjyveSU21kPO3fiAQoKWlhY9+9KM5H8+xY8dobW2Vg7nXXXcdjzzyiCrISqNUME5itQtsfn6e/v5+rFbrqrf8khsl3ROyuLiYt7/97bz97W+XtzkcDo4fP47T6aSnp4dXXnmFI0eO8N3vflfeR0dHh+zqkNweZWVlhEIhBgYGmJ6epqqqas2c50xZD6XTx44d46//+q85duwYO3bs4Gc/+xnvfOc75cfj07UCgQCvvvoqGo2G6elpBgYGZB9nvMsj0ywA2LiCfCGa06+nXsgOh4OGhgb5//X19bz00kuKrJ2KTSPISrfgTJdUlu3i4iL9/f0YjUYuueSSNSO/SgTkLBYLHR0ddHZ2ytsEQWB4eFgW6J6eHp555pmEsTTV1dVs3bqVvXv30tHRkfMEFFgpwBezdHp4eJhbb72Vhx56iKqqKr71rW/xkY98ZFVx0Wq16PV66uoSp6dIpcRut5vJyUkCgQB6vX5FAHG1tTeqIG8EC1lJQU41rDefbBpBzoRcxjgtRxJ36URyOp309/ej1WrZtm1b2gEFJQQ52RparZbm5maam5v5wAc+IG+fnp7m6NGjvPjiizgcDgYGBvinf/on2fosKiqiq6srIYDY2dmZdXVavtpvrobT6eTuu+/m29/+Njqdji996Ut8/vOfT8sfnkw0paqzgoICKisr5e3hcFgOIDocDrxer9yYx263J1SoSWmFG9WHvBHGN8VbtblQX1/P2NiY/H+priGfbBpBvlgWslT2HAqF6O/vRxAEWltbM069yVfK2nLiMzz27dvHhz70Ifk20e/389RTT9HT04PD4aCnp4cf/vCH+Hw+IPZFtn37dtkn3d3dTXd3d1rvNZ8+5OX/D4fD/OhHP+LOO+9kYWGB66+/nltuuSXB2lUSg8FASUlJgr9daszjdrtZXFxkbGyMUCgkGwN6vR69Xk9BQYGiArqRg3rrbXzTvn376OvrY2hoiLq6On76059y5MgRRdZOxaYR5ExQqkubxJkzZxBFkdbW1qyDYPkWZGnGXn9/P8XFxUlziS0WC7t27aK9vZ2WlhYgdpEMDAzIwcPTp0/z+OOPc//998uva2pqWpGKF29Bxh9DLqxVOi2KIo899hi33HIL586d44orruCOO+5g586dGe8rV7dCfGOeeEKhEK+//rocPJW+7KxWa4I1na3bKN/Wdy4TsddCCQvZ5XIpJsh6vZ5vfetbXHPNNUSjUW644QZ27NihyNop95nX1dcpSljIfr+fgYEBlpaWaGpqoqmpKacLOF8uC4hlZJw7dw6z2cyll166amrRclHX6XS0t7fT3t7Ohz70IXn71NRUQobHK6+8wiOPPCKLbmlpqZzl0dXVxY4dOxTpRAfJhb2np4ebb76Zp59+mtbWVn7605/y3ve+d92V0BqNRkwmEzU1NbI7S+r34Ha7E/p5mEwmufpweT+PVGxklwWQ87G7XC5FC0MOHz7M4cOHFVtvLTaNIF8ol0UgEGBwcBCn00lLS4tcEXaxq/5gpZh6PB76+voQBIHOzs60/Nnptt+srq6murqaa665Rt7mdrt59dVX6enp4eTJk/T09PDd736XYDAIIAc4u7u76erqoru7mx07dqSd45zsM56amuL222/n5z//OSUlJfzd3/0dN954Y86ByQsZeEvW70EURYLBoBxAlPp56HQ6ubjFbrevKCPeyIKsRIxhIzenh00kyJmQTVAvvhVmfGczj8ezLubqwZuCLFnvXq+X9vb2jE7QXBrU2+12Dh06xKFDhwiHwwiCQDQa5dy5c/T09PDEE08wOzvLI488wo9//GMgJrItLS2yP1oS6uXls5DYy8Lj8fD1r3+d733ve0QiET772c/yl3/5lxuiMXk6Yq/RaDCbzZjN5oR0vPgy4snJSbxeb0I6XjgcJhgMZpWOtxb59iErwUZuTg+bSJDzZSGHw2GGh4eZmZmhqamJ9vb2FVM61osgS60sT506RWtrKxUVFRlflEqNcJL2q9fr2b59O9u3b6elpYV9+/YhiiIOh4Pe3l5Onz5Nb28vJ0+e5KGHHpJfL1VYSUK9ZcsW/uzP/gyAo0ePcsMNN+Dz+bj66qv59Kc/zVVXXZXzMceT77l32a6dqoxYSseTvgCDwWBCOp5kTeciqPnMQ1bq845EInn1c+ebTSPIkH4kPx1BloIuU1NTq7aYlEZC5YpOp5Nv7TMl/li1Wi2HDh3K+uRWSpBXQ6PRUF9fT319Pe9973vl7UtLS7LLo7e3l56eHr7xjW/IfyvpPX3ve98D4Morr+Qb3/jGiqG16x1RFBW1NOPT8UZGRrj00kuBxHS8+Dl58Q3jpe546ZBPl4USa2+wPshJ2VSCnC6rWaPxLTzTaYV5oefqxSMIAuPj44yOjlJfX8+hQ4d48cUXc84OyJcgr3XBFBcXc/nll3P55ZfL24LBIL/61a+48847efXVVxOe//TTT7Njxw4aGxvZu3dvgtsjvgl+tseaTx/yhQg2pkrHkxrGS+O1wuEwRqMxQaSTjV/KpyAr2VtmvQVyM+EtKcjJ/mCSuGU6+FTJuXrpriOKIlNTUwwNDVFRUaFo32cl8oXD4TCDg4NEo1E5WJVNl7i5uTm+9rWv8aMf/Qir1Up3d3dCB7ZrrrmGjo4OTp06xfPPP88DDzwgP1ZXV5fgk+7u7qaxsTGji3U9uixyRernER9IFUUxoTve/Py83M8jvjteOBxe1wHDQCCQdTfC9cKmEuRsxEQQBCYnJxkeHqaqqor9+/dnFKFXcoxTOoIs5RIXFhayZ88eTCZTzvuOJxcLWZok4nA4qK+vR6/X4/V65flqPp+Pc+fOrenTDAQC3HffffzDP/wDXq+Xj33sY3zqU5/ife97HwA//vGPOXbsGI8++ih///d/TygUor29nfn5+QR3R29vL48//rj8fgoLC+nq6kpIx9u2bVvSW/Z83v5eTEFOhkajwWQyYTKZVh2v5fV6OXny5Ip+Humk462FEhby0tJSwuSZjcimEuRMiJ9+UVZWllXTdbhwQT2n08m5c+cwGo10d3en3aYwU7IRZMliHxwclCeJiKJIJBJJmPjx0ksvUVFRkbRHsSTQTzzxBLfddhujo6Ncc8013H777XR0dAAxIb766qsBuPPOO/nSl76EVquVZySWlZVx1VVXJQT4/H4/r7/+ekIA8V/+5V8Sqg87OztloZasap1Ot+H6TSj9JbJ8vNbS0hL79u1LOl5r+VQPm82WkcWrVNn0Rs6wgE0myOlcQFIrTJ/Px+LiYs5Wpl6vz6vLwuv1cu7cOQRBoKOjIy0LIBcLLNO0t8XFRc6dO4fdbmfv3r3yZ5nsS0qr1Sb1aXq9Xp5++mnuvPNOent7aWlp4d577+Wqq67CZrMRDAYxGo3y66T3V1paytLS0qrHZ7FY2LNnD3v27JG3RaNRBgcHE6zpJ554gn/7t3+Tn7Nlyxaam5u57LLLZJGuq6tTRKTzZSFfCMs71XitSCQii7Q0XksQhKQBxGTHqFTZ9AaZFpKSTSXIqyGKotwK02azUVxcTHNzc863/PlyWQQCAfr7+/F6vbS1tSU0Wl8NyW2T7YWZbmGI9EUhimJGxR3LGRkZ4dZbb+Xhhx+murqaf/qnf+L6668nFArhdrtxOp2Mj48TCoWYnJwEYl8CPp9PvlXO1DLU6XS0tbXR1tbGtddeK2+fnp6mp6dHLmw5ffo0Tz/9dEL14XK/dFtbW1ZCkg/hzGdRyFro9XqKi4sTLFRRFOUA4lrjtcRep28AACAASURBVJSwkJeWllQLeSOwsLBAf38/ZrNZvt3v6elZN/nD0jqCIMgBsfn5eVpaWtixY0dGF6/kcsj2wlzLZSE1UXK5XLS3t6f8oljrmJeWlviHf/gH7rvvPvR6PV/+8pf53Oc+Jwu71HgnvkDktddeA2KZFwMDA/j9flksJyYm5As82/deVVXFu9/9bt797nfLQzbr6+t57bXXZGv69OnTfO9735NTFM1mM52dnbJPOtPqQyW5mIKcDCkoaLVa1xyvFQqFMJvNiKKY0B0vE1SXxTpjuQg4nU76+vrk4oT4i0QpyzaXyrbleL1ejh07RmNjI21tbVldXLnOC0wlyNFolOHhYaamphIqFZMhiiLRaFS2ejQajfw5hcNhfvCDH3DXXXexuLjIhz/8YW655Za02hpKF2h5ebk8lmdhYYHx8XGi0SgOh0POSc61WY90lyHNajxw4ID8WCQSoa+vT/ZJ9/b2Zl19qCT5FGQl/dPJxmsNDg6i1+sxGAzMz88zMjJCOByW+3lIPwUFBSnPO1WQ1ynSPDhRFGlvb0/qd1WyJ3IuSJOnR0ZGEEVxzbzntcg1j3j5yS5V1Y2MjFBXV5eyQEZ6LsTEWxRFdDodoijKua/PPfccn/zkJxkYGOCKK67g9ttvZ9euXRm9t/j9QOwLyGQyJfTAlfzSUrMeKQVPyg6QUvFS+TPXQq/X09nZSWdnJ9ddd13C5yT5pCW3R3z1YWVlJd3d3VRUVDA6Okp3d3fWsw+TsZGnhQiCgM1mSxBpKR3P7XbLmR4+ny8hdS9+vJbL5aK6ujpvx3gh2FSCLI3dCYfDtLW1rfptqfQYp0yJH3haXl7OgQMHOH78eM4nvVarVWxA59zcHH19fZSUlKyZDigJr1T0oNPp5IDno48+yp133snp06dpa2vjyJEjXH311Wg0GsLhsFy5JolJKlFJd4STVqtN2qxHKi+O92dKBRGSNS1ZYJn64VerPnzttdcSrOmnnnpKnthitVrZsWNHgjW9ffv2rPJpN3Iv5GRpb/HpePH9PKR0PKnp0sDAADfffDNer5cdO3ZQUFDAzp07aWpqyvm4HnzwQW699VbOnDnDsWPH2Lt3b85rrsamEmSNRkNDQ0NaVVoXcq7ecubn5+nr68NutycdeJoLki86F6LRKCdOnMBgMKzZrjNeiCH2N5AE7eTJk9x222088cQTlJSUcM8993DDDTdgMBjk5wuCIK8hfZFIv6W1JJdHqqnT6ZBq2kd8RzXJAtPpdBgMBiKRCC6Xa82RTKtRXFzMZZddxmWXXSZv++1vf4vNZktIxXvggQf453/+Z+DNlqfxwcN0qg83cqe3TNZfno4H8Itf/IJPf/rT7Nixg1OnTvHYY49x33335Xxcl1xyCQ899BCf/OQnc14rHTaVIFsslrT/qEo2qU9nYjTEerWeO3cOvV5PV1fXmnP2cjmWbAgEAvT19REIBNacBJJKiAHGxsa44447ePDBBxEEgZtuuokvfvGLCXcsqazheIGWfkPsgpWEWtpvrlOogaQFEZFIhMnJSWZnZxNGMsW3vcylibzBYJCF9iMf+Yj8HkZGRmR3R29vb9Lqw+UiHd+HeyO7LHItDNHpdAQCAT7wgQ8oOhU6fj7lhWBTCXImGAwGXC6XImstn6u3HK/XS19fH5FIhLa2trzmSmbjsohEIgwODjI3N0dra+uqTb7jxVK6K5AEweVyce+99/L973+f+fl5rr32Wv72b/82o1tHSVDiP0tpf9IFK4lzNBolGAzK1rVkSeeK1CUtGAzS2toqH0N81ZrURD7eL22z2TCZTFn5pTUajTzo4P3vf7+8fX5+XnZ1SNb0E088If+N46sPW1paqK+vp6mpSfGOZ+vJQk7FRu+FDG9hQVZ6rl4yEQwGg/T39+N2u2lra1vzllOJAZiZuCzi+3c0NDRw8OBBtFot/f39K567PGAXL36hUIgjR45w9913Mzg4yP79+3nwwQcTMhNyQdqPJDJ6vR6dTsfw8DDz8/O0traucHtIQUVJHDP9TJdb3fF+6ZqaGvk5yfzSBoNBFmi73b5qZsBalJWV8Y53vIN3vOMd8rb46kPJol5efbht27aEDI+urq6cDIGNIMjZjm/6nd/5HaamplZsv+OOO/j93//9nI4pUzaVIF+sQafL1wqHwwwNDTE3N0dzczPbt29P69gkYc9FkNMddDozM8PAwAAVFRVrNlJaHrCTfgRB4OjRo9xxxx1yut5PfvITrr322rwUPkhrLi4ucuLECerr69m/f7/8ecX7pZO5PNINHi7f32qPJ/NLS5kBbrebubk52S8tZQRI1n22ApSq+vDEiRO88sorTE5O0tPTw5NPPplQfdjU1MTzzz+f9iT0eC5Ec/pczxkplzlTnnzyyZz2qySbSpBB2Z7I6SKtFY1GGR0dZWJigi1btsgWZ7pIgpzL+KG1ClWk+XoFBQVrBhRXC9i99tpr3HbbbTz66KNYrVZuv/12PvWpTykaoFyO2+0GYhbi3r17V3xOq/ml490sawUPpfeeLUajkbKyshV+aSl4GA6HOXXqlNybWLK8c/FL63Q6GhsbqampYcuWLfJ2qfqwt7eX4eHhrMQY8u9DzjXPeTP0QoZNKMjpomQeslarZXp6mjNnzlBTU5N1LnE+J09Lndai0Wha8/UikYh8ksf7iaemprjrrrs4cuQIgUCAj3/84/zVX/1VQl8DpZGCjdJtZWVlZUbCFW8VS6wWPJREW9qulF+6uLiYwsJCpqen2bt3r5yfvXy4qdlsTnB5pOuXTnas8dWHuXAhBpwqgdJ3Zg8//DCf/exnmZ2d5Xd/93fZuXMnjz/+uKL7iGfTCXK6FrISjdilW/+JiQkKCwszbt25nHwIcigUYnBwkMXFRdrb21f1Y0sCZDKZeOWVV+TUIrvdTjQa5Tvf+Q7f/va3mZ6e5vDhwwmd2PKBVB04OztLa2urnIuqhDWUKngoCAIzMzMMDw+zdevWhOwO6XW5BA/j0yPjCxzi/dKBQEB2eUxMTKTtl96oaW9KHLeUU640H/zgB/ngBz+o+Lqp2HSCnC65fpMuLCzQ19eH1WqloaEBs9mc86RjJQRZGgUlCAIjIyNMTEzQ1NRER0fHqu853irs7u4mGAzicrlYWFjgoYce4r777uPcuXN0dHRw99138573vCdv7gmpnefw8DB1dXWyn1iykPN1e+rz+Th79iwWi4W9e/diNBpXWNK5Bg/XmhYS300tmV/a4/Ek9Uvb7XbZus4HSnRjW21tJTIsNnqnN3gLC3K2uFwu+vr60Gq1chMZh8Oh2Fy9XAVZo9HgdDp54YUX0nKfpPITm0wm+vv7ue2223j22Weprq7mm9/8JocPH8br9XL27Fn8fj9GoxG73S5b0rlkFMCbfZ/tdjt79uxJsHqU8O8mIxwOMzAwgNvtXtHiNJUlLf1O5vKA5H5p6dizsQZT+aWlijWHw8HCwgIajYb5+fkEazpXQwHy60NWojn9ZuhjAZtQkDMVg3Qr7Hw+H319ffJ0ivhv44s5Vy8eqaudXq9fs+H+agE7SYh/9rOfYTQaufnmm7npppuSFrKEQiFcLpdcxurz+dDr9bJAFxYWUlBQsKYISe1GQ6EQnZ2dSbulpVs6nS5S/4mxsbG07iIksilqkY5fyerQ5ROoBwcH5XFZbreb+fl5hoeHZcs5vo9HpvnS633Aqcvl+v/tnXl4G/WZx7+yZR2R79uxHZ+S7Zx2bKduF1IKFGhDy9HnKbsLS7ZsNs8eOSDdLNlm225LE0gwNDQUstkCzUOhFFK2DSFPtpQGyhIcO5CQOLHl+5YtH7JOSxpJs394f5ORrFujkS3P53l4niQkMyNZ+s477/F9l/y2ECAOBTkUSHeEvwiCWD3q9Xqml9jzgxyLvXpsTCYTurq6IBKJUF5eDqPR6FOM/U3Ykeh/9+7duHz5Mh566CH88Ic/ZPKb3pBIJMjOznbzGqAoCkajEQaDAf39/TCbzUwfLxFqYpPpdDoxODgIrVaLiooKZGdn+xQKb6PT4UK6TTIyMtDY2MjJ47i/oRaXywW73Y6hoSFIpVI3Dw9vkXQ4kCjW2848X3lpTx8PX9ew2BecxoMXMhCHghxOL7I3QXY4HOjv74dWqw1oN8n3Xj0CGTwxmUxQqVTIyMiATqeDXq9f8Hf9TdhZrVb09vbCarVCqVTi2WefhVQqZdbJh0pSUtICe0XS9mUwGDA0NASTyQSHwwGKopCZmcmkCvz9/LhIWdhsNnR3d4OiKKxZsyYq4+tsiO0o6aIoLi5mbnC+Imny70IVaV/FMX95adKKx15syhZpsoopmn3IwvqmG8SdIIeCNyElizpHRkawatUqv3aTBC4j5GBy0Q6HAwMDA5iYmEBFRYXb4Im37hF2wY79JXc4HBgcHMTk5KRbdLpp06aIX4sn7I0SxKc6NTUVubm5mJubg0ajQXd3N2PDSCLplJQUJnqKJGVBfq7j4+OoqKiIapseG5PJxBQKPXPiviLpcIuHoXYrePMldjqdjEiTVUzEBlMikYCiKM7y0uxzCjnkeeJOkEOJkNm9yOylp2RRZ7AfEi4jZKvV6vP/B+NNzL45+MsTj42NYWhoaMG0WzRh54mrq6u95omJZ4TBYMDExAR6enrgdDqhUCiYyDjU95ps6iZbxfl4reQJS6fToaqqKmAHABfFQy7axxITE93y0uT8ly5dglQq9ZmXTk5OhkwmC6ugy1VRr7y8PKJjLAbiTpBDQSwWg6IoZoyY5BND7WeMdsqCpmlGVDIzM/32O5MI2el0es0Tk72CmZmZXqfdokEoeWJvXsZkgGJ0dBQAMDo6ik8++QQrVqxwKx56/txIG5tYLEZtbW1UpwgJpDe9r68PxcXFqKysDLvrJJTiIem4IL/mKi9Nzi8SiVBQUMAIJ8lLs6Npq9UKsVjsNnkYTEHX6XRG3EMsRMhxgN1uR1dXF9LT01FbWxuWKTgQ3aKewWCAWq2GVCoNeI0kJaHX66FWq5Gamoq0tDTI5XKYTCZ0d3cjMTER69evD/u1hgIx4e/v78fKlSvDjk7JAAVZ81RUVISmpiZmyk2n02FwcBB2ux1yuRwKhQIWiwVzc3N+9/5xDWkHlMlkC9ITXMKOptk3gKKiIuZJItg2vGDxzCGz89Ls9I+/vDQ7mmY/CTgcDr+e28EQrrHQYiPuBDmYaISseJqbm0N+fj6USmVE5+Rqrx5bkOfm5tDd3Q2bzbagzc4TdrQkFouxadMmpsthfHwcer0eNE0jOzsbOTk5zN+NhgEQgXg/KxQKzsSJnUNmL9Aka3tcLheGh4cxNDQEhUIBiUTC3MzYkXS4j9a+cDqdzDRkMOkJriBPABKJxOt77KsNj0TQwI3ol/zaF8H2T/vLS5tMJiYv7XK5GH9ps9kctscGQRgMWYIQkbNarVCpVLBarTCbzbG+LAZS1FOr1ZienoZSqfT7eA94L9hJpVKIxWIYjUbYbDbU1NQgPT2daXsi/cJJSUkL+oUjFSrS+WG1WlFVVRXxF42Nv7Y3o9EItVqN5ORkNDU1MakYmqZhs9mYG5RGo+FsoMUzOm1sbIzqTY5ApjC1Wi3TXeMNf3lp8pmJ1BEvGHzlpS0WC0wmEywWCwYGBtDf3x92XjoevJCBOBRkbz88u92O3t5ezM7OMp4IIpEIU1NTMd2rx8blcmF8fBzT09PIzs4OuHXaX8GOjB0XFBS4pQk8d5ORcVyDwQCtVou5uTkmB0h8LIIVKuJ0NzExgfLycuTk5HAuTt4EmfxsLRaL1xuASCSCTCaDTCZb8GjNfu1kFDnYgRaSnpBKpVFNT3gyMzODrq4u5OXlobGxMWTB9Ca03oqH7Js82yWPy7w0SWMQm1q5XO43L8328fC8BkGQFzHkQ8RuDysrK0N1dbWbSMRyrx7735Blp1lZWUhNTXXboOzt7/sa7NDpdOjp6fE6duwNb+O4FEXBYDDAYDC47ZhjGw0pFAo3cdRqtejv70d+fn5UuxjYvscu1/y27pGREa8/20D4eu2BBlrkcjkGBwcxMzMDlUrFW96S1DsoisKGDRs4rQH4Kx6SG09WVhbneWkC6bLwlZcmPxeTyYTBwUEmL012HY6MjDD1Ay7Zu3cv3nnnHUgkElRUVOCVV16J+s87LgWZ9JySTRi+eolJlwUXBLtXj41Op3PLs4rFYly8eNHr3/UnxGSsm6ZprF69OqJhh6SkJJ8i7bkIVCaTwWg0QqFQoK6uDlKpNOzzBgP79ba1tSErKwubNm3ibILM30AL8djQ6/VMntRoNDIFq2hNsbHHu0n/NN9pkaqqKkaI2Plo9ucxEpEONAXo7edCNk/39vbixIkTGBkZQUNDA6qqqvC3f/u3uPPOO8N96Qxf/epX8eSTT0IsFuPxxx/Hk08+iUOHDkV8XH/EpSBfvnwZKSkpAXuJyWZhLgi0V4+N2WxGV1cXXC4XY1AE3MgHs/E3YUdRFPr6+qDX61FZWRm1bgJPkSbTbiaTCVlZWbDZbLh06RISExPd0h3sSJoLbDYbgPkxWb46RcRiMZKSkjA9PQ25XI7169cjMTGRmTocHR1lilS+BlrCxWg0orOzE2lpaZyNdweDXq9HZ2cncnNzF6RFAo2He+vwCDTUEs4UIHlqq6urwy9/+Uts3rwZra2t6Orq4qyV84477mB+3dTUhJMnT3JyXH/EpSBv3LiR960hwbS+kXwn2xeDjad4+ZqwI90EY2NjKCkpgUql4i1qItNu5eXlWLNmjdt52Y/8fX19TCTtmZMO9ctH+piJ/WZ+fj4vYux0OtHf3+81PeGtSOVroIWd8ghGLJxOJ/M5qa6u5rQw6g+Hw4Genh6YzWasXbs26CctLoqHkXx+ScpDLBZzunGazcsvv4wHHnggKsdmE5eCHKxJfSgLQQPhT9yJoGg0mqDynf4KdiRfm5uby+njuj+IF0NfX5/fPLG3R0tveVki0kSoFAqF1+Oxz1tQUIDGxkYA3Lm9+YJ93sLCwqC6J/wNtJBUT19fHyiK8jvQQoaUiouLoVQqebnRAsDk5CR6enqwatWqoF3v/BGoeEg+41qtFgCY1GE4KQ+9Xh+201swC04PHDgAsViMBx98MKxzhELcCjLfeBNkmqah0WiYwYhgvYm1Wi1SUlIgkUiY10L8H1asWMFLvpZgNBrR1dUFuVwe1nl95WWJSA8MDCwonqWmpjI2oFKplDkv+UJHc38au7c30vfZ10YQbwMtEokEVqsVUqkUa9euRXJyMi+fY5vNhs7OTiQkJES9W4Qt0qRISdM06urqkJSU5HcxrT+RjmRKL9CC0xMnTuD06dN4//33efl5xKUgxwLPlMX09DQzBRiKN3FlZSWmpqbQ398Pp9MJmUwGq9UKkUiE6upq3prf7XY7enp6MDc3B6VSyanXrFgsRkZGhlubEhFpnU6HK1euwGazMRX3qakpJt0BREeQybqo6enpqHZPeA60kOKZRqNBfn4+cyMi4hytgRZSLBwZGXFbjxVt2G2ZFRUVbu5zoeSlgRtDLdEaCjl79iwOHTqEDz/8MOJJwmCJS0GOlkm9P0iETCLKxMREbNiwwe8P0lvBLicnBzk5OXA4HOjr68PU1BSysrJA0zSzpJQUj8iXlcu0BTtPXFZWhtzcXF4ig8TERFgsFqZFsaCgAE6nkxlmGRwchMlkAjD/eD0yMoLU1FTGVzkSJicn0dvbi5UrV6KhoYEX8yFgvjipVquRk5PjdUM58TD2NtASyTCPyWRCZ2cnUlNT0djYyNvyUqvVio6ODkgkkoA+KsEUD8mvz5w5w/iccMmOHTtgs9mYBbFNTU04duwY5+dhE5eCHArBmNQHAxEyAG5tQr7wV7AjkUtxcfGCLyq7eKTRaJhujUhFmp03JUMHfH1RSUtZWlqa2xfVWyQtEomwYsUK5v02mUxMaoC8/mBFmqQnkpKSeE0DkacPq9WKdevW+bxpBxpo8ewTDzTQ4nK50N/fj+npaVRXV/O2YYMdjXsrZgeLp0hrtVp897vfRUJCAp577jnOrpfQ09PD+TEDsewFmVhwhivIxGZxdHQUWVlZWLt2bdgFu6mpKWZAxFebE7t4VFhYCGD+i0basMbGxmA0GgFggUj7EikS1ctkMl6FiYxZ22y2oPunRaL5fX+rVq1i/oxE0mzze38iTdITU1NTfkePuYbUFAYHB1FWVoa8vLyQo9tQB1qISFMUhe7ubhQUFPD6FGCxWNDR0YHk5GTObvI0TeO3v/0tnn76afzoRz/CfffdF5O6UTSIS0EOZ2tIqJBIlngKV1VVwWw2+zy3v8EOYnYkkUiwYcOGkG0iExISGOEhEEMXg8GAkZER5nGfXTiTSCTMF1ilUvEWMZG2PY1GE/KYtTcjp8TERMb8nsBOdwwPD8NkMkEkEkEsFsNkMiEvL48ZxuEDYlSvUCg4tz31N9Ci0+lw9epV2O12yGQymM1mjI6OMjepaA60DA0NQaPRoLq6mrOc/MTEBPbs2QOFQoFz587xlvvmi7gU5FAIVZDJo31PTw+ys7PxhS98AWKxGFNTUz69jH0JMduIh+vCmTdDFyJSer0eHR0dMJlMkMlkblNnvlrQuGJ6ehrd3d3M0EGogkCM2APhKdJzc3Po7OwETdMoLi6GxWLBp59+CgALImkuRYrdy8ynExxZdkA2pOTl5TFPUmRLdbQGWkwmEzo6OpCRkcHZKL3L5cLJkyfxzDPP4IknnsA999wTN1Exm7gU5GhFyCTXSVqx2MMJnsdhFx08J+zII/Pk5GTUjHi8kZCQAIqioNFokJeXh4aGBtA07bUFjQgUVxN3FosFXV1dSEhIiMgsPtgec0Kg9ISvJwkuRJosFQi2l5kryM3Hs3jmy3XN20AL6ZUOZaCFnaOuqanhbKBlfHwcjz32GFJTU/HBBx+EnYNeCsSlIIdCMOPTc3Nz6Orqgt1uZ5ZxeuK5OslbwY6dQywsLORtnRBwYzO1RCJZIIjeWtCIwRB74o4t0qG4wJEvqVKpjHi8OxRBJoJIhkq8vde+niTYo9GeOXkSSfoSaavVCrVaDZFIxGtOnqZpZoIzWGN+bwMtNE3DbDaHNNDCHrfmKkftcrnw5ptv4qc//SkOHDiAb3zjG3EZFbNZ9oLsz2CIeEXMzMygsrLS72JMEiH7Wp00MzODnp4epKen87Y6Cbgxrk02UwfzyCwWi71O3BGRJnaVxE+Z/CeXy91c4Mi2EOIVzMWXNCcnJ2BP6NzcHNRqNRITE8OKxn1FkiQn7Vk4ZU8cajQajI2NRdRNEA5GoxEdHR3IzMyMuHjG3vDBHmiZm5uDwWBwG2iRyWSgKAoOhwPV1dXIyMjgRDQ1Gg0effRRZGZm4sMPP+Rt60usEYXYZB+9ESmOIUY0gRgfH4fZbEZFRQXzZ6SlanR0FCUlJSgsLAzYOWG32/HJJ58gPT2dWZ2UkpICq9WK7u5uJCQkoLKykrcGc7bfRbgV/UCwW7AMBgMsFgskEglkMhkMBgOSk5OhUql4ixDJiPrk5CQn0Xgg2N0tU1NTmJmZQWJiIjIzM5GWlhaVPnFPyLaS2dlZ1NTUeF0cGy2mp6ehVquRnp4OiUQCo9EY8UCLy+XCr3/9axw9ehQHDx7Eli1b4iUqDupFxK0g2+32oB5tp6amMD09jaqqKiaq6+3tRX5+PkpLS4MadWaP9FosFiaKmJ6ehtPpREZGBnJycjgbZPAHaZ/r7e1Fbm4uSkpKeOsnpigKXV1dzH4zm82Gubk55gtK/pNKpZx/yUh6Ij8/H6tWreItFURRFHp6emCxWFBdXc3sLyR2pUajMSqFM+BGgbSwsBBFRUW8CZfD4WBWoNXU1CwwerLZbMzrNxgMQQ+0jI2NYffu3cjLy8MzzzwTF4bzLARBDua16fV6DA8Po7CwEF1dXUhOTkZlZaXfqC5QwY60dJWVlSE7Oxtmsxl6vR4Gg4HpkeW6aAa454krKyt52bIMuHv2lpaWIj8/3+31sCfODAYDrFYrZDLZApEOB5LfF4lEUKlUvL5mMgLs7TWzYRfOiFARkWY7wQUr0sQHwul0oqqqirfXDNwwISopKUFBQUHQn1v205TRaGTqEmQLusViwW9/+1scOnQIX/va1+IlKmazvAWZoqig2qMmJyfR3t6OtLQ0qFSqgI98ngU7z5zpwMAA8vPzUVxc7DMyZRfNDAYDzGaz33xsIOx2O/r6+mA0GoPOE3OFTqdDd3c3MjMzUVpaGpSokD137PeAeFcQcUpLS/Pr/0E8ICYmJnjdLA3cWN8kl8tRWVkZVj3Al0grFAq37gb2+8kuCnv6QEQb9k2gurqakzQURVH4+OOP0dzcDI1GA4lEAoVCgQMHDuArX/kKB1e9qBAE2Z8gk/FVvV4PAPjiF7/o93j++olnZ2fR3d2NlJQUlJeXh+WYZbfb3QTK81E/LS1twZfA5XJhZGQEo6OjAaM0riG5cafTCZVKFXFunKZpWK1Wt/fAbrcvaL+SSCTMozrf6YloGxCxRZpEk0SkZTIZpqenkZqaCpVKxdtAC7s4W15ejry8PE6O63K58Oqrr+LFF1/E4cOHceedd0IkEjG90XwNKfGIIMjeBJl8qYjJem5uLtra2tDU1OT1OIFWJ/X09MDlckGpVEa0OskbngLFjiKB+aml3NzcgLluLmFHptF2CWNX9g0GA2ZnZxk/5YKCAmRmZiI1NZWXjhVyEygoKEBxcTFvNwFiGj85OYnU1FTY7fawje9DxWq1orOzE0lJSVCpVJydY2RkBDt37kRpaSkOHz7M6xNdDFnegkxa0Ag0TWNsbAwDAwNYuXIlSkpKmC/V+fPn8aUvfcnt3/sTYoqi0N/fz2yx5utxmaZpzMzMMJFpUlIS8+Vkd3ZEI3piFwv5jkw9bwJyudztRuU5yJCamsrZe2Cz2RgDJ77ztaS3NycnNPIwrAAAG55JREFUB6WlpW4GVKR4TKLpcIc5vEG+K0NDQ1AqlZzddF0uF06cOIHjx4+jubkZt99+ezzmin0hCDIR5KmpKXR3dyMjIwMVFRULPqhsQfZXsGOnCEItakQKRVHo7e2F0WiEUqlkHpdJEz9boFwul5tnhT9joWAgOwCTkpKgVCp5a2MDbkSmeXl5bjdRNp7vAREodj42NTU1pKcImqYxMjLC+AX760HnGvYqperq6qCevLy9Bw6Hg3kPyOchkEjPzc2ho6MDK1asQGVlJWc3tqGhIezcuRMVFRV4+umneVtLtYhY3oLsdDqh0+mgVqshFov95jmJIPsr2JGJJRKt8JkiCDVPTPpj2Z0dIpFowQLSQCJNPJlnZ2d5XXkPzD8uk40S4USm/jobAtmUGgwGpr+2vLyct5814L5KaeXKlRHd8NkTd+R9ICLN/iwkJSW5TflVVVVx1nLmcrnwyiuv4Be/+AWeeeYZ3HbbbcspKmazvAV5bGwMvb29QRm6nD9/ntnXBrinJwwGA7q7uyGTyQK2w3ENSRFkZ2dHfBNgGwuRzg5f49Dsaj4XwhAKbIN8rqfd2IMcRKSBGyPRCoUCWq0WJpMJ1dXVvA5ZsFcpVVVVRW2VErtXnrwHNpsNFEVBoVCgtLQU6enpnOSLBwcHsWPHDlRXV+PQoUO8vp+LkOUtyA6HAw6HIyhv4q6uLkxPT0OhUDATVsSa0m63Q6lU8vqIRVIEYrGYyZlGA/Y4NJm0S0hIgM1mQ0pKCiorK3nb7QYEl57gGjISPTo6iomJCSQlJSEpKcktgozmME+sVikB86+dmFyVlpbC5XIxIs32rmB3uAR73JdeegmvvPIKfvrTn+KWW25ZrlExm+UtyC6Xy6dHhbeCHTAvhDqdDqOjo8wYcEZGBuNrEG1rSuKdodfreU8RkDZAs9mM/Px8pg3Pc4gjUH9wOLDTEyqVKmo3IG+wl5oqlUpIJBI3w3v2ME+oKZ9AsFcpVVRU8JoaMRgMTMHQ282PHUmT9yKQwRAA9Pf3Y+fOnVizZg2eeuopzjuPljCCIHsKsr+CHXvarKioiNnGwX7MN5lMzGM+iaRDGeDwd60kSuK7WEhy1MTzwnOHnr/+YLZfQ7jDESQ9EYvocHBwEFqtNqitId5EOjExcYFIB/Nzi9UqJSAy7wv2xmwi1Ha7HVqtFufPn4fT6cRHH32E559/Hps3bxaiYneWtyATwx/2770V7AAw45uZmZkoKyvzW1lmP+br9XpmgIOIU6gRJDl3VlZW0JNuXEFa6ELNUXvmIUnrWSh7/ci5id8GXy105NxdXV0Rp0Y8Jy6DsSklhWa++5nZ5165ciWKi4s5EUyaptHW1oYnnniC+S7odDrs3bsXDz74IAdXHTcIgkz8LHz1ExPvh6SkpIhytSSCJJG03W4P2BtsNpsZFzilUsnrYzrxfwDAWYqAdDWQ94AUzDxzsXa7Hd3d3XC5XLynJ8j4L0VRjBEQ17D327HH4hUKBcxmMwBg9erVvLn+ATfa6CwWi1czoHBxOp04fvw4XnvtNRw5cgSbN28GcGM0ns+e7SXA8hZkIpDp6emMCLNXJ/X29sJisUCpVHI+KUQiSCJOBoMBNE0zHrMkmuJzwSbgvj2DD3tKYvSu1+uh1+uh0+lAURQyMzORl5fHqbGSP9jpqIqKCt42tLDP3d/fj7S0NLhcLsb9jB1Jh2JRGQqkB5/rbpmenh7s3LkT9fX1+MlPfsLrDQaY/2w1NDSgsLAQp0+f5vXcYbK8Bbm1tRXf/e53odfrUV1djfr6eqxbtw5nz57FTTfdhMbGxgX50mhCcncajQZyuRxOp9Pt8TYtLY2TfLQ3aJqGVqtFf38/Vq5ciaKiIt5TBN3d3cjJyUFhYaFbf7CnsVJaWhqn4mQ0GtHZ2Ym0tDSUl5fzmhJir1LyHD0O5F0SqU0pRVFQq9WMcTxX0arT6cSLL76IN954Az/72c9w0003cXLcUHn22Wdx8eJFGAwGQZCXEhRF4erVqzh69ChOnTqFqqoqUBSFuro6bNy4EY2NjVCpVFGtcBNB8swTk8dbEklbLBbmS0ly0pH2PZNtx8SZLFr9rd4gY8fEJtLXo7I/cQr3fSBDLeSGzGfbYjirlAD/NqVss/dATExMoK+vj/Fq4erm1tXVhV27dmHTpk144okneE03sRkZGcHWrVuxf/9+PPvss3ElyHG/wikpKYn5YJLxaZPJhE8//RQtLS04ePAgurq6kJ2djYaGBtTX12PTpk2cbNhgL/Zcv379gg+wt/Xt7Hz00NDQgo6GYH0a2KPWvvYARguyrUSj0TApAn9IJBJkZ2e7dVmw34fh4WHGWIn9Pvjq7NBqtejt7UVxcTGUSiWv1f5IVinJZDLIZDLm/fK0KR0ZGWFys968pMlwSWJiIurr6zm7+TocDrzwwgt46623cPTo0QW+L3zz6KOP4vDhw0ydIp6I+wg5GMhkWmtrK1paWtDW1gatVovKykrU19ejoaEBdXV1QQ9JsM2HlEplRHlidkcDiaTZXhVpaWlugwuBzOKjjU6nY25wXI6Ys53f9Ho949XAvlklJSWhp6eHGZXn82mAr1VKvtoQRSIRbDYbioqKUFxczNlr7+zsxK5du/AXf/EX+NGPfhTzQt3p06dx5swZvPDCC/jggw/Q3NwcVxGyIMg+cDqdUKvVuHDhAi5cuIBLly6BoiisX7+eEenVq1e7RWlsMYzmyLGnV4XRaERCQgKkUimMRiMyMzOhVCp5W6QKzEdn3d3doCgKVVVVvBR5iFfD7Owss3hUJpMxew25MFYKhlitUgLm89TXr1+HRCJBZmYmk5/3nLQL1abU4XDg+eefx9tvv42f//zn+MIXvhDFVxE8//Zv/4ZXX30VYrGYuTHdf//9+NWvfhXrSwuEIMhcY7FYcOnSJbS2tqK1tRXXr19HSkoK6uvrkZycjJaWFjQ3N6OiooLX4pHNZoNarcbc3BwyMjIwNzfHTBqy+6Oj4cPBHiwJJj3BNbOzs1Cr1YzpE4CAxkpcjYPHcpUScaMbHR31mqf21ivOdn/zl/7q6OjAzp078eUvfxk//OEPYx4V+0KIkJe5IHtC0zQuXbqEHTt2wGAwYNWqVRgaGsKqVavQ2NiI+vp61NfXM613XMOedPMmhiT/SMTJZrMxURMR6khuHNFKTwQDGfW2Wq2orq72G5GHYqwUDLFcpQTM97B3dHSEPHLtz6a0q6sLcrkcly9fxv/8z//ghRdecDPcWowIgiwI8gKuXbuGyclJ3HLLLQDmRbKvr49JdVy8eBFmsxmrV69GQ0MDGhoasH79+oijVbJlOZRpM38Tduwx6EDHikV6gsAWw7KysrCLr96MlUhvMLuzw/PYFosFnZ2dEe3TCxf2uHd1dTUn/fNkoOfEiRN46623MD4+jpycHKxbtw5PPfUUCgoKOLhyAQiCvHiw2+24cuUKI9JXr16FRCJBXV0dI9KVlZVBiSoxwxGLxVAqlRE/TvrKR7P7gkn0yE5PlJeX8zpgAdxo4VMoFF4XDUSK5+JVz7Yzg8GA6elpVFVV8Wr8BNzo3sjKykJZWRlneXGKonDkyBG8++67eOGFF9DQ0ACKonDt2jW/rYoCISMI8mKFpmkYDAa0tbXhwoULaG1tRW9vLwoKCpiCYUNDg5vgURSFgYEB6HS6iDs3AuFtKzax5UxLS4NSqeQ1KnY6nejv78fMzExQ/tZcQToaxsfHMTQ0hMTERCQmJgaVh+UK8sSl0+k4795ob2/Hrl27cMcdd2D//v28en0PDw/j4Ycfxvj4OBISErB9+3bs3r2bt/PHAEGQlxKkSNPS0sIUDWdmZpjlqZ2dnXjppZdQXl7O65Qd8Z6wWq3Iy8tjKtvsfHQ4VfxgmZycRG9vb0w6GLytUvJsQyR52FCMlYKFFCzJDkOuXjtFUXj22Wdx9uxZvPjii9i4cSMnxw0FjUYDjUaDjRs3wmg0or6+Hr/73e+wevVq3q+FJwRBXupcv34dW7duRUpKCsrKynDlyhXQNI0NGzYwUXRVVVXUlpqSnXLe/B9IXzDbryOcfLQvrFYr1Go1RCIRqqqqeI3egNBWKQUyVgrVS9vpdKKnpwcmkwk1NTWcPo1cvXoVu3btwte+9jV873vf47VX2x/33HMPduzYga9+9auxvpRoIQjyUmd4eBg6nQ7r168HcKNK/umnnzJRtFqtRkZGBpPqaGxsjLj/eXZ2Fl1dXYwdabDRHluYSPTIzkcHYybEnvLjeoVTMJAWQnIjCFew2MZKbJN7b7l5NqSnmXhycxUV2+12NDc3449//COOHTuG2tpaTo7LBQMDA9i8eTPa29t5nSjlGUGQlwPEOIgUDNva2qDRaFBWVob6+no0Njairq4OqampAb/cJD1hs9lQVVXFybYHh8OxoOXMs5uBFCb1ej3UajXj+cFnGx0fq5S8+SeLxWLmRjU1NQWn04nVq1dz2vv7+eefY/fu3bj77ruxb9++RRMVA/OF2i9/+cvYv38/7r///lhfTjQRBHm54nK50N3dzeSjP/vsM1itVqxdu5YR6TVr1jBfTKfTibGxMYyMjHBuSOMNu93OCLRer4fVaoXT6YRIJGK2lvDZThbLVUp2ux1DQ0MYHR2FVCoFTdOcGUzZbDY8/fTTOHfuHP7zP/+TedJaLFAUhbvvvht33nkn9uzZE+vLiTbLW5CPHj2K559/HmKxGFu2bMHhw4djfUkxxWaz4fLly4xXR3t7O1asWIHi4mJcvnwZ//Ef/4Gvf/3rvAohTdMYHx9Hf38/CgsLIZFIvG4gIX4dXAtlLFcpAfNi3NnZuSA9wvaq0Ov1jMFUKAXUy5cvY/fu3bj33nvxr//6r7z+XIOBpmls3boVmZmZOHLkSKwvhw+WryCfO3cOBw4cwLvvvgupVAqtVsv7NNVix2q1Yvv27bh27Ro2b96M7u5uDAwMoKioiCkY1tfXIzMzMyrRstlsdrMF9RQMb4UyMgJNIsdIzO1juUqJ3IgGBgZQWVkZcNzc01iJ3LA82+8SExNhs9lw6NAhfPTRRzh27BjWrVvH06sKjf/93//FzTffjHXr1jHv/cGDB/H1r389xlcWNZavIH/729/G9u3bcfvtt8f6UhYtNE3jgw8+cFvRTibB2Ploo9HIGPw3NjZ6tRENBbK1ZHp6OuTN2k6n0y1yJDlYT78OfyJNURTTxsflOqNgsVqt6OjogFQqjcgAij0GrdfrcerUKbz++uuw2+2ora3Fvn37sHHjRt67UwR8snwFuba2Fvfccw/Onj0LmUyG5ubmRT+Xv1ihKArt7e1MPvrKlStITEx0M/hXKpVBpRNIBwGXUSkxtyeRo9VqhVwud8vBJiUlMcXPvr6+mNiSsouGoZjWB4PVasWTTz6JTz75BDt37oROp0NbWxvuvvtu3HfffZydRyAi4luQb7/9doyPjy/48wMHDmD//v249dZb8dxzz6GtrQ0PPPAA+vr6hLXkHEDTNIxGI2Pw39bWxqxnYrfesT0mrFYrs9g02q5oZLqOXTSkKAoOhwNSqRQVFRXIyMjgtXBnsVjQ0dGB5ORkVFZWcnruixcv4rHHHsMDDzyAPXv28OoyCABnz57F7t274XQ6sW3bNuzbt4/X8y8h4luQ/XHXXXdh3759jOFPRUUFWlpaOLWGbG5uxt69ezE5ORmVFqmlBE3TGBsbczP4n5ycRGVlJcRiMTQaDV566SXeJ+3IKqXR0VGsWrUKAJj+aABuPcHRWLZK3PgmJiY4MwMiWK1WHDx4EBcuXMDx48dRU1PD2bGDxel0QqVS4b333kNRUREaGxvx61//Op6n7SJh+a5wuvfee/GnP/0Jt9xyC7q6umC32zkVzeHhYbz33nvMl3y5IxKJUFhYiPvuu495RG5vb8fDDz+MgoIC1NTU4G/+5m/gdDoXGPxHK6Ijy00zMjKwadMmJiotLCwE4G7J2d/fD7PZzPQEs/ujwxVpthlQY2Mjp0VDssD3r/7qr3Du3Dneo2L2dVRWVqK8vBwA8Jd/+Zf4/e9/LwhyBMSlID/yyCN45JFHsHbtWkgkEpw4cYLT6Oexxx7D4cOHcc8993B2zHgjJSUFr776KtasWcP8mcViwWeffYbW1lYcOXKE8fRlpzoKCwsjEq9gVyklJiYiPT3drajIXrY6NjbGuL2xi4aBinDsVrqamhpOl6vOzc3hJz/5CT777DO89tprqK6u5uzY4TA6Oori4mLm90VFRbhw4UIMr2jpE5eCLJFIorbS5dSpUygsLMSGDRuicvx4oaSkZMGfrVixAjfddBOzOp6maUxNTaG1tRUXLlzAr371K4yMjKCkpMSt9S4tLS2oGyp7lVJDQ0PIN2HPZavs/XUzMzMYGBgARVFu/dFsIyG9Xo/Ozk7k5eWhoaGB06i4paUF//Iv/4KHHnoIzc3NvObAfeEt3SnUaSIjLgU5UvwVDA8ePIg//OEPMbiq+EMkEiEnJwdbtmzBli1bAMxHmL29vbhw4QLee+89PPnkk7BYLG4G/+vWrXNr52KvUqqtreWsaCgSiSCXyyGXy5GXlwfgRruZXq9n9vjRNA2apuFyuaBUKjn1ibZYLHjiiSdw+fJlvPHGG1CpVJwclwuKioowPDzM/H5kZAQrV66M4RUtfeKyqBctrl69ittuu41x3yIfwNbWVuTn50d8/L179+Kdd96BRCJBRUUFXnnlFd6N0Bcjdrsdn3/+OdMf3d7eDqlUitraWsaV7ujRo5z8DEJlZmaG8d+QSqVuK6LYqY5w8tHnz5/H3r17sXXrVuzcuXNRRMVsHA4HVCoV3n//fRQWFqKxsRGvv/66W5pKgGH5dlnwRWlpKS5evMhZwfAPf/gDbr31VojFYjz++OMAgEOHDnFy7HiCpml8/vnn2LZtG5KSkpCTk4O+vj6sXLmS6Y1uaGhAdnZ21B6hyYCJzWZDdXX1ggETsiKKON+xt48QofZl8mM2m/HjH/8Y7e3tOH78OJRKZVReAxecOXMGjz76KJxOJx555BHs378/5GN8//vfR3Z2NmNQv3//fuTl5WHXrl1cX24sEQQ52nAtyGz++7//GydPnsRrr73G+bHjgcuXL8NiseBLX/oSgHmRHhoaYjawtLW1QafTQaVSMamO2tpayOXyiEWaeCWHMmBC0zRsNtuC/miFQoG0tDSYTCYUFxfjypUrePzxx/HII4/gn/7pnxZdVBwNBgYGcP/99+Ozzz5j0j6tra28W69GmeXb9sYXAwMDUTv2yy+/jAceeCBqx1/qePr5ikQilJSUoKSkBN/+9rcBzD9SX7t2DRcuXMBvfvMb7Nu3DyKRaIHBf7CiZ7fboVarQdN0yGPJIpEIMpkMMplsQT7aYDDgzTffxNtvv43p6WncddddkMvlmJ2djTdR8kppaSmysrJw6dIlTExMoK6ublm8bm8IETLP+CsYkja6AwcO4OLFi3j77beFqjWHEAG8ePEiE0Wr1WpkZma6td4VFBQs2I4yMTGB/v5+VFRUcGpURdM0PvroI+zbtw9///d/j+985zu4evUqWltbce+997q1lcUzv/nNb3D+/HmMj49j69at8WgyJKQsliInTpzAsWPH8P7773OyukcYbfUPEVu2odL4+DjKy8tRX1+PsrIynDx5Eo8//jjWrFnDqY2lyWTCD37wA/T09OC//uu/UFZWxtmxQyXWBWW73Y5169Yxufk4TNUIgrzUOHv2LPbs2YMPP/yQkzFvYbQ1PFwuF9RqNQ4fPox3330Xq1evhsFgWGDwH4lT25///Gfs27cP//iP/4jt27fzav/pjcVQUP6Hf/gHpKen46mnnuL1vDwh5JCXGjt27IDNZmMWPTY1NeHYsWNhH08YbQ2PhIQE5ObmIjc3F319fUhOTobVamUM/n/+85/j2rVrUCgU2LhxI5OPLikpCSisRqMR3//+9zEwMIDf//73KC0t5edFBeCOO+5gft3U1ISTJ0/yen6Xy4WWlha89dZbvJ53sSEI8iKip6eH0+MJo63hk5WV5RYhymQyNDU1oampCcB8lDszM4O2tja0tLTgzTffxODgIIqLi92mDDMyMiASiRj/6e9973v453/+Zxw7dizmUbEv+C4oX79+nbEKXcwtfnwgCHIcI4y2Rg+RSISsrCzcdddduOuuuwDMR3kDAwNoaWnBuXPn8PTTT8NoNEKlUkGr1UIul+Odd96JmSlVsAVlsViMBx98kLfrWr16Nfr6+ng732JGEOQ4JpqjrcPDw3j44YcxPj6OhIQEbN++nWnsX64kJCSgvLwc5eXl+Ou//msA8wMiV65cwTvvvIMf/OAHMY2K//jHP/r9/ydOnMDp06fx/vvvCzfuGCEU9eKYaI62ajQaaDQabNy4EUajEfX19fjd734n5KeXKFwXlAUWIBT1ljtisRjPP/887rzzTma0lSufgYKCAhQUFACYt9qsqanB6OioIMhLFK4LygLhIUTIAhEzMDCAzZs3o729HampqbG+HAGBxUhQEfLiLPMKLBlMJhO+9a1v4ciRI4IYCwhEiCDIAmFDURS+9a1v4cEHH8T9998flXM4nU7U1dXh7rvvjsrxBQQWE4IgC4QFTdP4u7/7O9TU1GDPnj1RO89zzz0XkwWeS5Xm5maIRCJMTU3F+lIEwkAQZIGw+Pjjj/Hqq6/iT3/6E2pra1FbW4szZ85weo6RkRG8++672LZtG6fHjVeE5btLH6HLQiAsbrrpJq+DJ1zy6KOP4vDhwzAajVE9T7wgLN9d+ggRchzR1taG9evXw2q1wmw2Y82aNWhvb4/1ZYXF6dOnkZubi/r6+lhfypJAWL4bHwgRchzR2NiIb37zm/j3f/93zM3N4aGHHsLatWtjfVlh8fHHH+PUqVM4c+YMs/n5oYce4nyb+OzsLLZt24b29naIRCK8/PLL+OIXv8jpObhCWL4b/wh9yHGG3W5HY2MjZDIZzp8/Hxe+sh988AGam5tx+vRpzo+9detW3Hzzzdi2bRvsdjssFsuSWywb7eW7ApwgTOotR2ZmZmAymUBRFKxWKxQKRawvadFiMBjw5z//Gb/85S8BABKJxOfi0cXMunXroNVqmd9Hc9ejQHQJNUIWWOSIRKJTAN4AUAaggKbpHTG+pEWLSCSqBXAcwHUAGwB8CmA3TdPmmF5YhIhEogEADTRNC71vSwyhqBdHiESihwE4aJp+HcBTABpFItGtMb6sxYwYwEYAL9I0XQfADGDJ77iiabpUEOOliRAhCyxbRCJRPoAWmqZL///3NwPYR9P0lphemMCyRYiQBZYtNE2PAxgWiURV//9Ht2E+fSEgEBOECFlgWfP/eeRfAJAA6APwHZqmdbG9KoHliiDIAgICAosEIWUhICAgsEgQBFlAQEBgkSAIsoCAgMAiQRBkAQEBgUWCIMgCAgICi4T/A4uYcuTnEXNdAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x465.231 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Same code as above, except we use \"final matrix\"\n",
    "\n",
    "\n",
    "draw3d(\n",
    "    Points3D(*dino_3d, color='C0'),\n",
    "    *polygon_segments_3d(dino_3d, color='C0')\n",
    ")\n",
    "\n",
    "\n",
    "# use final_matrix here\n",
    "translated = [multiply_matrix_vector(final_matrix, v) for v in dino_3d]\n",
    "\n",
    "draw3d(\n",
    "    Points3D(*dino_3d, color='C0'),\n",
    "    *polygon_segments_3d(dino_3d,color='C0'),\n",
    "    Points3D(*translated,color='C3'),\n",
    "    *polygon_segments_3d(translated,color='C3')\n",
    ")\n",
    "\n",
    "translated_2d = [(x,y) for (x,y,z) in translated]\n",
    "\n",
    "draw(\n",
    "    Points(*dino_vectors, color='C0'),\n",
    "    Polygon(*dino_vectors, color='C0'),\n",
    "    Points(*translated_2d, color='C3'),\n",
    "    Polygon(*translated_2d, color='C3'),\n",
    "    save_as='figures/ex_5.3.5_third_dino.svg'\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Exercise:** Write a function analogous to `translate_3d` called `translate_4d` that uses a 5x5 matrix to translate a 4D vector by another 4D vector. Run an example to show that the coordinates are translated."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "metadata": {},
   "outputs": [],
   "source": [
    "def translate_4d(translation):\n",
    "    def new_function(target):\n",
    "        a,b,c,d = translation\n",
    "        x,y,z,w = target\n",
    "        matrix = (\n",
    "            (1,0,0,0,a),\n",
    "            (0,1,0,0,b),\n",
    "            (0,0,1,0,c),\n",
    "            (0,0,0,1,d),\n",
    "            (0,0,0,0,1))\n",
    "        vector = (x,y,z,w,1)\n",
    "        x_out,y_out,z_out,w_out,_ = multiply_matrix_vector(matrix,vector)\n",
    "        return (x_out,y_out,z_out,w_out)\n",
    "    return new_function"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(11, 22, 33, 44)"
      ]
     },
     "execution_count": 64,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "translate_4d((1,2,3,4))((10,20,30,40))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
